A unique, much-needed introduction to molecular symmetry and group theory Elements of Molecular Symmetry takes the topic of group theory a step further than most books, presenting a quantum chemistry treatment useful for computational, quantum, physical, and inorganic chemists alike. Clearly explaining how general groups and group algebra describe molecules, Yngve Ahrn first develops the theory, then provides coverage not only for point groups, but also permutation groups, space groups, and Lie groups. With over three decades of teaching experience, Dr. Ahrn brings to the discussion unprecedented depth and clarity, incorporating rigorous topics at a level accessible to anyone with basic knowledge of calculus and algebra. This unique and timely book:
* Extends coverage to molecular orbital theory,
* Utilizes powerful examples to illustrate basic concepts
* Contains introductory material on space groups and continuous groups, including point-group character tables
* Provides a solid background for exploring the theoretical literature

The aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in algebraic number theory. Much of recent research on abstract infinite groups is related to profinite groups because residually finite groups are naturally embedded in a profinite group. In addition to basic facts about general profinite groups, the book emphasizes free constructions (particularly free profinite groups and the structure of their subgroups). Homology and cohomology is described with a minimum of prerequisites.

This second edition contains three new appendices dealing with a new characterization of free profinite groups, presentations of pro-p groups and a new conceptually simpler approach to the proof of some classical subgroup theorems. Throughout the text there are additions in the form of new results, improved proofs, typographical corrections, and an enlarged bibliography. The list of open questions has been updated; comments and references have been added about those previously open problems that have been solved after the first edition appeared.

This book, published in 1976, presents an entirely original approach to the subject of the mind-body problem, examining it in terms of the conceptual links between the physical sciences and the sciences of human behaviour. It is based on the cybernetic concepts of information and feedback and on the related concepts of thermodynamic and communication-theoretic entropy. The foundation of the approach is the theme of continuity between evolution, learning and human consciousness. The author defines life as a process of energy exchange between organism and environment, and evolution as a feedback process maintaining equilibrium between environment and reproductive group. He demonstrates that closely related feedback processes on the levels of the behaving organism and of the organism's nervous system constitute the phenomena of learning and consciousness respectively. He analyses language as an expedient for extending human information-processing and control capacities beyond those provided by one's own nervous system, and shows reason to be a mode of processing information in the form of concepts removed from immediate stimulus control. The last chapter touches on colour vision, pleasure and pain, intentionality, self-awareness and other subjective phenomena. Of special interest to the communication theorist and philosopher, this study is also of interest to psychologists and anyone interested in the connection between the physical and life sciences.

Edward Conze's The Psychology of Mass Propaganda presents a commentary on the psychology of propaganda and the rise of fascism in Europe in the 1930s. Completed in 1939, during the period of Conze's own inflection from Marxist philosophy to Buddhist studies, the original manuscript was never published and is now in print for the first time. Presenting a unique historical perspective, while also appealing to an acutely topical interest in the conditions under which autocracy and fascism arise, the book examines the psychology of mass propaganda through copious contemporary and historical examples. Conze focuses especially on recent news articles and the statements of the propagandists of many of the governments that would go on to participate in the Second World War, including Germany, Italy, the USSR, USA and UK, all of which he interprets through the lens of recent psychological and historical research. The book has been edited and includes a new introduction by Richard N. Levine and Nathan H. Levine, also featuring a foreword by American legal scholar Laurence H. Tribe, and an afterword by actor, director, writer, and Buddhist priest Peter Coyote. This is a fascinating opportunity for scholars across several disciplines, including political scientists and psychologists, historians and sociologists, to access one of Conze's previously unpublished works. It will also be of importance to those interested in Conze's work on Buddhist philosophy, and in the psychology of propaganda more broadly.

Profinite groups are of interest to mathematicians working in a variety of areas, including number theory, abstract groups, and analysis. The underlying theory reflects these diverse influences, with methods drawn from both algebra and topology and with fascinating connections to field theory. This is the first book to be dedicated solely to the study of general profinite groups. It provides a thorough introduction to the subject, designed not only to convey the basic facts but also to enable readers to enhance their skills in manipulating profinite groups. The first few chapters lay the foundations and explain the role of profinite groups in number theory. Later chapters explore various aspects of profinite groups in more detail; these contain accessible and lucid accounts of many major theorems. Prerequisites are kept to a minimum with the basic topological theory summarized in an introductory chapter.

This Handbook represents the first comprehensive collection of research on communication and people with disabilities. The editors have brought together original contributions focusing on the identity, social, and relationship adjustments faced by people with disabilities and those with whom they relate. Essays report on topics across the communication spectrum--interpersonal and relationship issues, people with disabilities in organizational settings, disability and culture, media and technologies, communication issues as they impact specific types of disabilities--and establish a future agenda for communication and disability research. Each chapter provides a state-of-the-art literature review, practical applications of the material, and keywords and discussion questions to facilitate classroom use. In providing an outlet for current research on communication and disability issues, this unique collection contributes to the lives of people with and without disabilities, helping them to improve their own communication and relationships. Intended for readers in communication, psychology, sociology, rehabilitation, social work, special education, gerontology, and related disciplines, this handbook is certain to augment further theory and research, as well as offer insights for both personal and professional relationships.

The objectives of the volume are to direct the field's attention to the unique value of studying interactions between members of different groups and to offer the most up-to-date summaries of prominent and cutting-edge scholarship on this topic written by leading scholars in the field. A central theme of the volume is that improvement in intergroup relationships will only be possible if social scientists simultaneously take into account both the attitudes, beliefs, emotions, and actions of the different groups that shape the nature of intergroup relations. Understanding how members of different groups interact is critical beyond the value of understanding how majority groups behave and how minority groups respond in isolation. Indeed, as the book exemplifies, groups interpret their interaction differently, experiencing different social realities; approach interactions with different goals; and engage each other with different, and often non-compatible, means or strategies. These different realities, goals, and strategies can produce misunderstanding, suspicion, and conflict even when initial intentions are positive and cooperative. The book will be of interest to professionals and students in social psychology, sociology, social work, education, political science, and conflict management, as well as scholars, students, and practitioners interested in anti-bias education and prejudice reduction techniques and strategies.

This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.

Polycyclic groups are built from cyclic groups in a specific way. They arise in many contexts within group theory itself but also more generally in algebra, for example in the theory of Noetherian rings. The first half of this book develops the standard group theoretic techniques for studying polycyclic groups and the basic properties of these groups. The second half then focuses specifically on the ring theoretic properties of polycyclic groups and their applications, often to purely group theoretic situations.

The book is intended to be a study manual for graduate students and researchers coming into contact with polycyclic groups, where the main lines of the subject can be learned from scratch. Thus it has been kept short and readable with a view that it can be read and worked through from cover to cover. At the end of each topic covered there is a description without proofs, but with full references, of further developments in the area. An extensive bibliography then concludes the book.

Traditional social hypotheses have a built-in tendency to verify themselves and so involuntarily resist attempts at stereotype change or correction. This is the insight demonstrated and discussed as the start point for an alternative approach to the problem of stereotyping and hypothesis testing. Stereotyping as Inductive Hypothesis Testing explicates the proposition that many stereotypes originate not so much in individual brains, but in the stimulus environment that interacts with and constitutes the social individual. This cognitive-ecological approach is then used to analyse the different aspects of language, sign systems and communication that can implicitly govern hypothesis testing procedures and lead to circular or reinforcing outcomes. The authors describe factors in tests such as judgment, memory and expectation and go on to suggest viable ecological learning approaches to them. An original research project based on a classroom situation is used to demonstrate and verify findings. The cognitive-ecological approach is then contextualised in relation to both the traditional approaches it can replace and the contemporary statistical sampling practices it can improve. Written with a profound understanding of the link between theoretical rigour and good empirical research practice this monograph will be invaluable to anyone with an interest in stereotyping or who wishes to enhance the reliability and self-awareness of their research methods.

The 21st-century political landscape has been defined by deep ideological polarization, and as a result scientific inquiry into the psychological mechanisms underlying this divide has taken on increased relevance. The topic is by no means new to social psychology. Classic literature on intergroup conflict shows how pervasive and intractable these group conflicts can be, how readily they can emerge from even minimal group identities, and the hedonic rewards reaped from adopting an "us vs. them" perspective. Indeed, this literature paints a bleak picture for the efficacy of any interventions geared toward reducing intergroup discord. But advances in the psychology of moral judgments and behavior, in particular greater understanding of how moral concerns might inform the creation and stability of political identities, offer new ways forward in understanding partisan divides. This volume brings together leading researchers in moral and political psychology, offering new perspectives on the moral roots of political ideology, and exciting new opportunities for the development of more effective applied interventions.

Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups.
In 1978 Alperin and BrouA(c) discovered the Brauer category, and BrouA(c) and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block a " and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence.
This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence.

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices.

Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.

This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries. As well as more than twenty original papers on the latest developments, which will be of great interest to specialists, the volume contains several expository articles, from which students and non-experts can learn about the present state of knowledge and promising directions for further research. The Finite Groups 2003 conference was held in honor of John Thompson. The profound influence of his fundamental contributions is clearly visible in this collection of papers dedicated to him.

A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra. This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties.

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.

Originally published in 1973, this work takes a hard look at the claims made for the small group as a learning medium (lecture, structured discussion, 'sensitivity', training groups etc.). Various theories of group dynamics, leadership function and learning process are looked at critically on the basis of actual research findings. It was intended for students of social psychology and anyone teaching or training to teach at Further Education level at the time, and will still be of interest in its historical context today.

Occasioned by the international conference "Rings and Factorizations" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra. A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches.

First book on BCC algebras and first to gather the research in one place. Appeals to researchers interested in algebra, the largest topic group of mathematics researchers No competition on this topic.

From the reviews: ..". The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996

Originally published in 1963, this book was one of the first to explore group process and working with groups. The introductory chapter tells us that working with groups requires three skills: and understanding of theory, a knowledge of its application, and trained experience in its use. It goes on to discuss these points, helping the reader towards an understanding of group processes and making decisions in groups. This title is an early example of author's explorations of groups and group work, which were to be a major factor in the establishment of group-work practice in Britain over the following years.

This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013. It contains research works in the areas of modular representation theory of p-adic groups and finite groups and their related algebras. The aim of this volume is to provide a bridge - where interactions are rare between researchers from these two areas - by highlighting the latest developments, suggesting potential new research problems, and promoting new collaborations.It is perhaps one of the few volumes, if not only, which treats such a juxtaposition of diverse topics, emphasizing their common core at the heart of Lie theory.

A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.

Love and money are important aspects of the everyday lives of couples. This book focuses on the daily routines of disagreement, conflict and joint decisions on these, and other issues such as work, leisure and children, create in the household. Central to the authors' research is a unique diary study of forty couples, who kept a daily record of their joint decisions over the course of a year. The diaries show how challenging, varied and complex the conflicts and decision making of normal everyday life can be and reveal that goals frequently change during the decision-making process with the result that the final outcome often achieves a goal distinct from the original intention. Furthermore, the dynamics of decision making differ according to the problem at stake, the decision-making history of the couple, and the quality of the partnership. The results of the diary study are discussed within the overall context of current research in the field as a whole, including discussion of joint decision-making case studies, close relationships, decision-making research in general and special research methods. Numerous results of psychological, sociological, economic and consumer behaviour studies are summarised and integrated into a model of household decision-making. This book will be primarily of interest to students and researchers in social psychology and economic psychology, but its interdisciplinary and applied nature will also make it of relevance to professionals working in the fields of family therapy and consumer behaviour.

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.