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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
In this book, Michael W. Kramer applies uncertainty reduction theory (URT)--a key theory in current communication scholarship--to the context of organizational communication. Examining URT and the range of research applicable to organizational settings, Kramer proposes a groundbreaking theory of managing uncertainty (TMU), which synthesizes prior research while also addressing its criticisms. Examples are provided to illustrate the principles of the TMU at both the individual and collective (group/organizational) levels of analysis. Original studies based on the theory show that it provides a useful extension of URT, addressing some concerns raised by critics of that earlier model. Kramer illustrates that, as a model in progress, TMU will change as new research and insights build upon it. Managing Uncertainty in Organizational Communication assists readers in understanding and researching uncertainty in communication, which encourages additional changes and improvements to the model. It is of primary interest to scholars, researchers, and practitioners in organizational, interpersonal, and group communication.
The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate "marriage" where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods - and, sometimes, a new world of unexpected difficulties.
This book is the first volume of proceedings from the joint conference X International Symposium "Quantum Theory and Symmetries" (QTS-X) and XII International Workshop "Lie Theory and Its Applications in Physics" (LT-XII), held on 19-25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow's theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.
Shortlisted for the British Psychological Society Book Award (Academic Monograph category) 2014! A CHOICE Outstanding Academic Title 2013! Psychological research shows that our emotions and feelings often guide the moral decisions we make about our own lives and the social groups to which we belong. But should we be concerned that our important moral judgments can be swayed by "hot" passions, such as anger, disgust, guilt, shame and sympathy? Aren't these feelings irrational and counterproductive? Using a functional conflict theory of emotions (FCT), Giner-Sorolla proposes that each emotion serves a number of different functions, sometimes inappropriately, and that moral emotions in particular are intimately tied to problems faced by the individuals in a group, and by groups interacting with each other. Specifically, the author suggests that these emotions help us, as individuals and group members, to: Appraise developments in the environment Learn through association Regulate our own behavior Communicate convincingly with others. Drawing on extensive research, including many studies from the author's own lab, this book shows why emotions work to encourage reasonable moral behaviour, and why they sometimes fail. This is the first single-authored volume in the field of psychology dedicated to a separate examination of the major moral and positive emotions. As such, the book is ideal reading for researchers, postgraduates and undergraduates of social psychology, sociology, philosophy and politics.
The papers in this volume represent the proceedings of the Conference entitled "Ischia Group Theory 2010," which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010. The articles in this volume are contributions by speakers and participants of the Conference. The volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: finite p-groups, character and representation theory, combinatorial group theory, varieties of groups, profinite and pro-p-groups, linear groups, graphs connected with groups, subgroup structure, finiteness conditions, radical rings, conjugacy classes, automorphisms.
This book is a collection of articles, some introductory, some extended surveys, and some containing previously unpublished research, on a range of topics linking infinite permutation group theory and model theory. Topics covered include: oligomorphic permutation groups and omega-categorical structures; totally categorical structures and covers; automorphism groups of recursively saturated structures; Jordan groups; Hrushovski's constructions of pseudoplanes; permutation groups of finite Morley rank; applications of permutation group theory to models of set theory without the axiom of choice. There are introductory chapters by the editors on general model theory and permutation theory, recursively saturated structures, and on groups of finite Morley rank. The book is almost self-contained, and should be useful to both a beginning postgraduate student meeting the subject for the first time, and to an active researcher from either of the two main fields looking for an overview of the subject.
The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite dimensional restricted simple Lie algebra is classical or of Cartan type. This conjecture was proved for p > 7 by Block and Wilson in 1988. The generalization of the Kostrikin-Shafarevich Conjecture for the general case of not necessarily restricted Lie algebras and p > 7 was announced in 1991 by Strade and Wilson and eventually proved by Strade in 1998. The final Block-Wilson-Strade-Premet Classification Theorem is a landmark result of modern mathematics and can be formulated as follows: Every simple finite dimensional simple Lie algebra over an algebraically closed field of characteristic p > 3 is of classical, Cartan, or Melikian type. In the three-volume book, the author is assembling the proof of the Classification Theorem with explanations and references. The goal is a state-of-the-art account on the structure and classification theory of Lie algebras over fields of positive characteristic. This first volume is devoted to preparing the ground for the classification work to be performed in the second and third volumes. The concise presentation of the general theory underlying the subject matter and the presentation of classification results on a subclass of the simple Lie algebras for all odd primes will make this volume an invaluable source and reference for all research mathematicians and advanced graduate students in algebra. The second edition is corrected. Contents Toral subalgebras in p-envelopes Lie algebras of special derivations Derivation simple algebras and modules Simple Lie algebras Recognition theorems The isomorphism problem Structure of simple Lie algebras Pairings of induced modules Toral rank 1 Lie algebras
This book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I is an introduction to the geometry of geodesic spaces. In Part II the basic theory of spaces with upper curvature bounds is developed. More specialized topics, such as complexes of groups, are covered in Part III. The book is divided into three parts, each part is divided into chapters and the chapters have various subheadings. The chapters in Part III are longer and for ease of reference are divided into numbered sections.
This volume is dedicated to examining various points of view of what leadership is, and how the leader supervises those whom he trains. It is divided into three conceptual sections: The Leader, which examines various dimensions of leadership and what it means to lead; The Leader's Effect on Others, which as the title indicates it looks at the effect and influence that a leader may have on others; and Organizational Culture, the effect of the leader on the culture of the organization or institution. The chapters in this book were originally published in The Journal of Psychology.
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
This essential volume explores the vital role of communication in the aging process and how this varies for different social groups and cultural communities. It reveals how communication can empower people in the process of aging, and that how we communicate about age is critically important to - and is at the heart of - aging successfully. Giles et al. confront the uncertainty and negativity surrounding "aging" - a process with which we all have to cope - by expertly placing communication at the core of the process. They address the need to avoid negative language, discuss the lifespan as an evolving adventure, and introduce a new theory of successful aging - the communication ecology model of successful aging (CEMSA). They explore the research on key topics including: age stereotypes, age identities, and messages of ageism; the role of culture, gender, ethnicity, and being a member of marginalized groups; the ingredients of intergenerational communication; depiction of aging and youth in the media; and how and why talk about death and dying can be instrumental in promoting control over life's demands. Communication for Successful Aging is essential reading for graduate students of psychology, human development, gerontology, and communication, scholars in the social sciences, and all of us concerned with this complex academic and highly personal topic.
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.
The last few decades have been among the most dynamic within recent British cultural history. Artists across all genres and media have developed and re-fashioned their practice against a radically changing social and cultural landscape ? both national and global. This book takes a fresh look at some of the themes, ideas and directions which have informed British art since the later 1980s through to the first decade of the new millennium. In addition to discussing some iconic images and examples, it also looks more broadly at the contexts in which a new ?post-conceptual? generation of artists, those typically born since the late 1950s and 1960s have approached and developed aspects of their professional practice. Contemporary British Art is an ideal introduction to the field. To guide the reader, the book is organised around genres or related practices ? painting; sculpture and installation; and film, video and performance. The first chapter explores aspects of the contemporary art market and some of the contexts within which art is made, supported and exhibited. The chapters that discuss various genres of art practice also mention books that may be useful to support further reading. Extensively illustrated with a wide range of work (both known, and less well-known) from artists such as Chris Ofili, Rachel Whiteread, Damien Hirst, Banksy, Anthony Gormley, Jack Vettriano, Sam Taylor-Wood, Steve McQueen and Tracey Emin, and many more.
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
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.
This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups. The book will be of interest to researchers in geometric group theory.
This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed.
This book explains how people can be radically manipulated by extreme groups and leaders to engage in incomprehensible and often dangerous acts through psychologically isolating situations of extreme social influence. These methods are used in totalitarian states, terrorist groups and cults, as well as in controlling personal relationships. Illustrated with compelling stories from a range of cults and totalitarian systems, Stein's book defines and analyses the common identifiable traits that underlie these groups, emphasizing the importance of maintaining open yet supportive personal networks. Using original attachment theory-based research this book highlights the dangers of closed, isolating relationships and the closed belief systems that justify them, and demonstrates the psychological impact of these environments, ending with evidence-based recommendations to support an educational approach to awareness and prevention. Featuring a foreword by John Horgan, the new edition has been fully updated to include recent work on political extremism and radicalization and totalitarian systems, as well as the recent highly publicized NXIVM case. Terror, Love and Brainwashing, second edition is essential reading for professionals, policy makers, legal professionals, educators and cult survivors and their families themselves.
This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.
This volume contains contributions from 24 internationally known scholars covering a broad spectrum of interests in cross-cultural theory and research. This breadth is reflected in the diversity of the topics covered in the volume, which include theoretical approaches to cross-cultural research, the dimensions of national cultures and their measurement, ecological and economic foundations of culture, cognitive, perceptual and emotional manifestations of culture, and bicultural and intercultural processes. In addition to the individual chapters, the volume contains a dialog among 14 experts in the field on a number of issues of concern in cross-cultural research, including the relation of psychological studies of culture to national development and national policies, the relationship between macro structures of a society and shared cognitions, the integration of structural and process models into a coherent theory of culture, how personal experiences and cultural traditions give rise to intra-cultural variation, whether culture can be validly measured by self-reports, the new challenges that confront cultural psychology, and whether psychology should strive to eliminate culture as an explanatory variable.
This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated and derived categories or model category structures. It addresses to readers who have had a course in classical homological algebra, as well as to researchers. |
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