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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory

Power in the Blood - A Handbook on Aids, Politics, and Communication (Paperback): William N. Elwood Power in the Blood - A Handbook on Aids, Politics, and Communication (Paperback)
William N. Elwood
R1,643 Discovery Miles 16 430 Ships in 12 - 19 working days

In this single volume, William N. Elwood has gathered potent evidence of the impact that the HIV/AIDS epidemic has had on the world, its communities, and its inhabitants, and he addresses the role of communication in affecting the way in which people respond to AIDS. With a multidisciplinary group of contributors and topics ranging from political rhetoric to interpersonal discourse, Power in the Blood offers a multitude of ways in which to think about power, politics, HIV prevention, and people living with HIV. Readers will be able to use this information in class discussions, program designs, grant applications, and research, as well as in their own lives. With this volume, Elwood makes a thoroughly convincing argument that communication is the key to understanding, treating, and preventing AIDS, and he inspires further action toward the goal of ending the AIDS crisis.

Culture and Social Behavior - The Ontario Symposium, Volume 10 (Paperback): Richard M. Sorrentino, Dov Cohen, James M. Olson,... Culture and Social Behavior - The Ontario Symposium, Volume 10 (Paperback)
Richard M. Sorrentino, Dov Cohen, James M. Olson, Mark P. Zanna
R861 Discovery Miles 8 610 Ships in 12 - 19 working days

Cross-cultural differences have many important implications for social identity, social cognition, and interpersonal behavior. The 10th volume of the Ontario Symposia on Personality and Social Psychology focuses on East-West cultural differences and similarities and how this research can be applied to cross-cultural studies in general. Culture and Social Behavior covers a range of topics from differences in basic cognitive processes to broad level cultural syndromes that pervade social arrangements, laws, and public representations. Leading researchers in the study of culture and psychology describe their work and their current perspective on the important questions facing the field. Pioneers in the field such as Harry Triandis and Michael Bond present their work, along with those who represent some newer approaches to the study of culture. Richard E. Nisbett concludes the book by discussing the historical development of the field and an examination of which aspects of culture are universal and which are culture-specific. By illustrating both the diversity and vitality of research on the psychology of culture and social behavior, the editors hope this volume will stimulate further research from psychologists of many cultural traditions. Understanding cultural differences is now more important than ever due to their potential to spark conflict, violence, and aggression. As such, this volume is a "must have" for cultural researchers including those in social, cultural, and personality psychology, and interpersonal, cultural, and political communication, anthropology, and sociology.

Self Continuity - Individual and Collective Perspectives (Paperback): Fabio Sani Self Continuity - Individual and Collective Perspectives (Paperback)
Fabio Sani
R1,804 Discovery Miles 18 040 Ships in 12 - 19 working days

This volume is the first to bring together the fast-growing research on self-continuity from multiple perspectives within and beyond social psychology. The book covers individual and collective aspects of self-continuity, while a final section explores the relationship between these two forms. Topics include environmental and cultural influences on self-continuity; the interplay of autobiographical memory and personal self-continuity; the psychological function of self-continuity; personal and collective self-continuity; and resistance to change. The volume is rounded off with commentaries on the central issues and themes that have been discussed. The book provides a unique sourcebook for this important topic and will appeal not only to upper-level students and researchers in social psychology, but, in view of the multiple perspectives represented in the volume, it will also appeal to cognitive, developmental, and personality psychologists.

Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Hardcover): Theodore G. Faticoni Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Hardcover)
Theodore G. Faticoni
R6,091 Discovery Miles 60 910 Ships in 10 - 15 working days

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups. Offering a unified approach to theoretic concepts, this reference covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. It shows how to effectively study a group G by considering finitely generated projective right End(G)-modules, the left End(G)-module G, and the ring E(G) = End(G)/N(End(G)). For instance, one of the naturally occurring properties considered is when E(G) is a commutative ring. Modern algebraic number theory provides results concerning the isomorphism of locally isomorphic rtffr groups, finitely faithful S-groups that are J-groups, and each rtffr L-group that is a J-group. The book concludes with useful appendices that contain background material and numerous examples.

Interpersonal Relationships (Hardcover): Diana Jackson-Dwyer Interpersonal Relationships (Hardcover)
Diana Jackson-Dwyer
R4,467 Discovery Miles 44 670 Ships in 12 - 19 working days

With a more specific focus than the all-encompassing textbook, each title in the "Foundations of Psychology" series enables students who are new to psychology to get to grips with a key area of psychological research, while also developing an understanding of basic concepts, debates, and research methodologies. In this book Diana Jackson-Dwyer presents an introductory survey of classic and recent research on relationships and the theories that underpin them.

The book starts with a brief overview of the place of relationships within the history of psychology and of their evolutionary roots: our need to belong, to attach and to affiliate. After a look at methodology, it considers different types of relationships: kinship, friendship, loving and mating. Theories are advanced to explain the formation, maintenance and breakdown of relationships. The book draws on a wide array of contemporary research, and covers issues ranging from rising divorce rates to cultural variations in mating patterns, the issue of gay marriage, and the effect of the internet on relationships.

Each chapter contains numerous pedagogical features which will help students to engage with the material:

  • Chapter-specific learning objectives and summaries of key points
  • Study boxes presenting reflective exercises, research questions, and issues for discussion
  • Glossaries and suggestions for further reading

Assuming no prior knowledge of the subject, "Interpersonal Relationships "provides" "an accessible" "and up-to-date overview of this vibrant area of psychology. The book will be ideal reading for students who are new to higher-level study - whether at school, college or university, and will also be useful for first-year undergraduate students taking introductory courses in psychology.

Close Relationships - Functions, Forms and Processes (Paperback): Patricia Noller, Judith A. Feeney Close Relationships - Functions, Forms and Processes (Paperback)
Patricia Noller, Judith A. Feeney
R1,807 Discovery Miles 18 070 Ships in 12 - 19 working days

Close Relationships: Functions, Forms and Processes provides an overview of current theory and research in the area of close relationships, written by internationally renowned scholars whose work is at the cutting edge of research in the field. The volume consists of three sections: introductory issues, types of relationships, and relationship processes. In the first section, there is an exploration of the functions and benefits of close relationships, the diversity of methodologies used to study them, and the changing social context in which close relationships are embedded. A second section examines the various types of close relationships, including family bonds and friendships. The third section focuses on key relationship processes, including attachment, intimacy, sexuality, and conflict. This book is designed to be an essential resource for senior undergraduate and postgraduate students, researchers, and practitioners, and will be suitable as a resource in advanced courses dealing with the social psychology of close relationships.

Classical Artinian Rings And Related Topics (Hardcover): Yoshitomo Baba, Kiyoichi Oshiro Classical Artinian Rings And Related Topics (Hardcover)
Yoshitomo Baba, Kiyoichi Oshiro
R2,978 Discovery Miles 29 780 Ships in 12 - 19 working days

Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate ring theorists with their abundance of properties and structural depth. In 1978, M Harada introduced a new class of artinian rings which were later called Harada rings in his honour. Quasi-Frobenius rings, Nakayama rings and Harada rings are very closely interrelated. As a result, from a new perspective, we may study the classical artinian rings through their interaction and overlap with Harada rings. The objective of this seminal work is to present the structure of Harada rings and provide important applications of this structure to the classical artinian rings. In the process, we cover many topics on artinian rings, using a wide variety of concepts from the theory of rings and modules. In particular, we consider the following topics, all of which are currently of much interest and ongoing research: Nakayama permutations, Nakayama automorphisms, Fuller's theorem on i-pairs, artinian rings with self-duality, skew-matrix rings, the classification of Nakayama rings, Nakayama group algebras, the Faith conjecture, constructions of local quasi-Frobenius rings, lifting modules, and extending modules. In our presentation of these topics, the reader will be able to retrace the history of artinian rings.

The Theory of Infinite Soluble Groups (Hardcover): John C. Lennox, Derek J.S Robinson The Theory of Infinite Soluble Groups (Hardcover)
John C. Lennox, Derek J.S Robinson
R6,699 Discovery Miles 66 990 Ships in 12 - 19 working days

The central concept in this monograph is that of a soluable group - a group which is built up from abelian groups by repeatedly forming group extenstions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, while remaining failry strictly within the boundaries of soluable group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.

Intergroup Dialogue - Engaging Difference, Social Identities and Social Justice (Hardcover, New): Ximena Zuniga, Gretchen... Intergroup Dialogue - Engaging Difference, Social Identities and Social Justice (Hardcover, New)
Ximena Zuniga, Gretchen Lopez, Kristie Ford
R4,635 Discovery Miles 46 350 Ships in 12 - 19 working days

Intergroup dialogue is a form of democratic engagement that fosters communication, critical reflection, and collaborative action across social and cultural divides. Engaging social identities is central to this approach. In recent years, intergroup dialogue has emerged as a promising social justice education practice that addresses pressing issues in higher education, school and community settings. This edited volume provides a thoughtful and comprehensive overview of intergroup dialogue spanning conceptual frameworks for practice, and most notably a diverse set of research studies which examine in detail the processes and learning that take place through dialogue. This book addresses questions from the fields of education, social psychology, sociology, and social work, offering specific recommendations and examples related to curriculum and pedagogy. Furthermore, it contributes to an understanding of how to constructively engage students and others in education about difference, identities, and social justice. This book was originally published as a special issue of Equity & Excellence in Education.

Foundations of Social Cognition - A Festschrift in Honor of Robert S. Wyer, Jr. (Paperback): Galen V. Bodenhausen, Alan J.... Foundations of Social Cognition - A Festschrift in Honor of Robert S. Wyer, Jr. (Paperback)
Galen V. Bodenhausen, Alan J. Lambert
R1,310 R1,206 Discovery Miles 12 060 Save R104 (8%) Ships in 12 - 19 working days

A tribute to Robert S. Wyer, Jr.'s remarkable contributions to social psychology, Foundations of Social Cognition offers a compelling analysis of the underlying processes that have long been the focus of Bob Wyer's own research, including attention, perception, inference, and memory. Leading scholars provide an in-depth analysis of these processes as they pertain to one or more substantive areas, including attitudes, construct accessibility, impressions of persons and groups, the interplay between affect and cognition, motivated reasoning, and stereotypes. Each chapter reviews and synthesizes past scholarship with the assessment of current understanding and cutting-edge trends and issues. A "must have" for scholars, researchers, and advanced students in the fields of social and cognitive psychology, as well as those in related fields such as consumer, organizational, and political psychology, neuroscience, marketing, advertising, and communication.

Interpersonal Sensitivity - Theory and Measurement (Paperback): Judith A. Hall, Frank J. Bernieri Interpersonal Sensitivity - Theory and Measurement (Paperback)
Judith A. Hall, Frank J. Bernieri
R1,818 Discovery Miles 18 180 Ships in 12 - 19 working days

Interpersonal sensitivity refers to the accuracy and/or appropriateness of perceptions, judgments, and responses we have with respect to one another. It is relevant to nearly all aspects of social relations and has long been studied by social, personality, and clinical psychologists. Until now, however, no systematic or comprehensive treatment of this complex concept has been attempted. In this volume the major theorists and researchers of interpersonal sensitivity describe their approaches both critically and integratively. Specific tests and methods are presented and evaluated. The authors address issues ranging from the practical to the broadly theoretical and discuss future challenges. Topics include sensitivity to deception, emotion, personality, and other personal characteristics; empathy; the status of self-reports; dyadic interaction procedures; lens model approaches; correlational and categorical measurement approaches; thin-slice and variance partitioning methodologies; and others. This volume offers the single most comprehensive treatment to date of this widely acknowledged but often vaguely operationalized and communicated social competency.

Homogeneous Spaces and Equivariant Embeddings (Hardcover, 2011 Ed.): D.A. Timashev Homogeneous Spaces and Equivariant Embeddings (Hardcover, 2011 Ed.)
D.A. Timashev
R3,901 Discovery Miles 39 010 Ships in 12 - 19 working days

Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.

Elementary Number Theory, Group Theory and Ramanujan Graphs (Hardcover): Giuliana Davidoff, Peter Sarnak, Alain Valette Elementary Number Theory, Group Theory and Ramanujan Graphs (Hardcover)
Giuliana Davidoff, Peter Sarnak, Alain Valette
R4,082 Discovery Miles 40 820 Ships in 10 - 15 working days

This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.

Combinatorial and Additive Number Theory IV - CANT, New York, USA, 2019 and 2020 (Paperback, 1st ed. 2021): Melvyn B Nathanson Combinatorial and Additive Number Theory IV - CANT, New York, USA, 2019 and 2020 (Paperback, 1st ed. 2021)
Melvyn B Nathanson
R6,362 Discovery Miles 63 620 Ships in 10 - 15 working days

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

The City in Cultural Context (Paperback): John Agnew, John Mercer, David Sopher The City in Cultural Context (Paperback)
John Agnew, John Mercer, David Sopher
R1,478 Discovery Miles 14 780 Ships in 12 - 19 working days

Routledge Library Editions: The City reprints some of the most important works in urban studies published in the last century. For further information on this collection please email [email protected].

Group Theory And Hopf Algebras: Lectures For Physicists (Hardcover): Aiyalam P Balachandran, Sang G Jo, Giuseppe Marmo Group Theory And Hopf Algebras: Lectures For Physicists (Hardcover)
Aiyalam P Balachandran, Sang G Jo, Giuseppe Marmo
R2,312 Discovery Miles 23 120 Ships in 12 - 19 working days

This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras. It is suitable for a one-semester course in group theory or a two-semester course which also treats advanced topics. Starting from basic definitions, it goes on to treat both finite and Lie groups as well as Hopf algebras. Because of the diversity in the choice of topics, which does not place undue emphasis on finite or Lie groups, it should be useful to physicists working in many branches. A unique aspect of the book is its treatment of Hopf algebras in a form accessible to physicists. Hopf algebras are generalizations of groups and their concepts are acquiring importance in the treatment of conformal field theories, noncommutative spacetimes, topological quantum computation and other important domains of investigation. But there is a scarcity of treatments of Hopf algebras at a level and in a manner that physicists are comfortable with. This book addresses this need superbly. There are illustrative examples from physics scattered throughout the book and in its set of problems. It also has a good bibliography. These features should enhance its value to readers. The authors are senior physicists with considerable research and teaching experience in diverse aspects of fundamental physics. The book, being the outcome of their combined efforts, stands testament to their knowledge and pedagogical skills.

Elements of the Representation Theory of Associative Algebras: Volume 1 - Techniques of Representation Theory (Hardcover):... Elements of the Representation Theory of Associative Algebras: Volume 1 - Techniques of Representation Theory (Hardcover)
Ibrahim Assem, Andrzej Skowronski, Daniel Simson
R4,505 Discovery Miles 45 050 Ships in 12 - 19 working days

This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.

Group Theory From A Geometrical Viewpoint (Paperback): Alberto Verjovski, Etienne Ghys, Andre Haefliger Group Theory From A Geometrical Viewpoint (Paperback)
Alberto Verjovski, Etienne Ghys, Andre Haefliger
R2,535 Discovery Miles 25 350 Ships in 12 - 19 working days

This proceedings presents the latest research materials done on group theory from geometrical viewpoint in particular Gromov's theory of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees. All these are very active subjects.

Factoring Groups into Subsets (Paperback): Sandor Szabo, Arthur D. Sands Factoring Groups into Subsets (Paperback)
Sandor Szabo, Arthur D. Sands
R6,724 Discovery Miles 67 240 Ships in 12 - 19 working days

Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups.

The book first shows how to construct new factorizations from old ones. The authors then discuss nonperiodic and periodic factorizations, quasiperiodicity, and the factoring of periodic subsets. They also examine how tiling plays an important role in number theory. The next several chapters cover factorizations of infinite abelian groups; combinatorics, such as Ramsey numbers, Latin squares, and complex Hadamard matrices; and connections with codes, including variable length codes, error correcting codes, and integer codes. The final chapter deals with several classical problems of Fuchs.

Encompassing many of the main areas of the factorization theory, this book explores problems in which the underlying factored group is cyclic.

The Student's Guide to Successful Project Teams (Hardcover): William A. Kahn The Student's Guide to Successful Project Teams (Hardcover)
William A. Kahn
R4,483 Discovery Miles 44 830 Ships in 12 - 19 working days

It is common for undergraduate and graduate students across various disciplines to be placed on teams and assigned group project research reports and presentations which require them to work together. For example a psychology course requires teams to develop, conduct, analyze and present the result of their experiments, a marketing course requires student project teams to prepare marketing plans and present their conclusions, and an organizational behavior course forms teams for the purpose of researching the cultures of different organizations and making presentations about their findings. This new guidebook will be a core text on how to help student project teams confront and successfully resolve issues, tasks and problems. Sections include conceptual material, stories and illustrations, and exercises. Students and teachers in Organizational Behavior, Management, Marketing and all psychology disciplines will find this book of interest.

Listening, Community Engagement, and Peacebuilding - International Perspectives (Paperback): Graham D. Bodie, Debra L.... Listening, Community Engagement, and Peacebuilding - International Perspectives (Paperback)
Graham D. Bodie, Debra L. Worthington, Zenebe Beyene
R1,314 Discovery Miles 13 140 Ships in 12 - 19 working days

This book explores the role of listening in community engagement and peace building efforts, bridging academic research in communication and practical applications for individual and social change. For all their differences, community engagement and peacebuilding efforts share much in common: the need to establish and agree on achievable and measurable goals, the importance of trust, and the need for conflict management, to name but a few. This book presents listening-considered as a multi-disciplinary concept related to but distinct from civility, civic participation, and other social processes-as a primary mechanism for accomplishing these tasks. Individual chapters explore these themes in an array of international contexts, examining topics such as conflict resolution, restorative justice, environmental justice, migrants and refugees, and trauma-informed peacebuilding. The book includes contemporary literature reviews and theoretical insights covering the role of listening as related to individual, social, and governmental efforts to better engage communities and build, maintain, or establish peace in an increasingly divided world. This collection provides invaluable insight to researchers, students, educators, and practitioners in intercultural and international communication, conflict management, peacebuilding, community engagement, and international studies.

Representations of Reductive Groups (Hardcover, New): Roger W. Carter, Meinolf Geck Representations of Reductive Groups (Hardcover, New)
Roger W. Carter, Meinolf Geck
R3,416 Discovery Miles 34 160 Ships in 12 - 19 working days

The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest and has many applications. The articles in this volume provide introductions to various aspects of the subject, including algebraic groups and Lie algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra theory and its generalisations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured character formula for irreducible representations in prime characteristic. The articles are carefully designed to reinforce one another, and are written by a team of distinguished authors: M. Broue, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzen, B. Keller, M. W. Liebeck, G. Malle, J. C. Rickard and R. Rouquier. This volume as a whole should provide a very accessible introduction to an important, though technical, subject.

The Psychology of Democracy (Paperback): Darren G. Lilleker, Billur Aslan Ozgul The Psychology of Democracy (Paperback)
Darren G. Lilleker, Billur Aslan Ozgul
R503 Discovery Miles 5 030 Ships in 9 - 17 working days

Refers to topical and real-world political events including Trump, Brexit, the Arab Spring, and Gezi Park, as well as attitudes towards groups in society, such as immigrants, journalists, politicians, and bankers Explains the psychological underpinnings behind political participation, making this fascinating reading for students of psychology and politics, as well as anyone interested in politics and democracy Part of The Psychology of Everything series, which debunks the popular myths and pseudo-science surrounding some of life's biggest questions

Topics in Galois Theory (Hardcover, 2nd edition): Jean-Pierre Serre Topics in Galois Theory (Hardcover, 2nd edition)
Jean-Pierre Serre
R3,408 Discovery Miles 34 080 Ships in 12 - 19 working days

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt construction for p-groups, p != 2, as well as Hilbert's irreducibility theorem and the large sieve inequality, are presented. The second half is devoted to rationality and rigidity criteria and their application in realizing certain groups as Galois groups of regular extensions of Q(T). While proofs are not carried out in full detail, the book contains a number of examples, exercises, and open problems.

An Introduction to Quasigroups and Their  Representations (Hardcover): Jonathan D.H. Smith An Introduction to Quasigroups and Their Representations (Hardcover)
Jonathan D.H. Smith
R4,947 Discovery Miles 49 470 Ships in 12 - 19 working days

Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension. To fully understand representation theory, the first three chapters provide a foundation in the theory of quasigroups and loops, covering special classes, the combinatorial multiplication group, universal stabilizers, and quasigroup analogues of abelian groups. Subsequent chapters deal with the three main branches of representation theory-permutation representations of quasigroups, combinatorial character theory, and quasigroup module theory. Each chapter includes exercises and examples to demonstrate how the theories discussed relate to practical applications. The book concludes with appendices that summarize some essential topics from category theory, universal algebra, and coalgebras. Long overshadowed by general group theory, quasigroups have become increasingly important in combinatorics, cryptography, algebra, and physics. Covering key research problems, An Introduction to Quasigroups and Their Representations proves that you can apply group representation theories to quasigroups as well.

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