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.

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.

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.

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.

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.

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.

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.

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.

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.

As the first book to examine the psychological motivations underlying people's attitudes, as well as why people form attitudes, this volume presents empirical research describing theoretical perspectives and practical applications. The editors assembled the leaders in the field to examine the topics of attitude function persuasion, individual-differences approaches, and the role of motivation within a variety of psychological disciplines, including social, personality, consumer, and environmental.

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.

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.

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.

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.

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.

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

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.

This book is a study in economic geography, treated historically. Its primary purpose is to describe and explain the industrial geography of London since 1861, using the most recent statistics available for that purpose, noting that this work was originally published in 1962.

Social psychology and politics are intricately related, and understanding how humans manage power and govern themselves is one of the key issues in psychology. This volume surveys the latest theoretical and empirical work on the social psychology of politics, featuring cutting-edge research from a stellar group of international researchers. It is organized into four main sections that deal with political attitudes and values; political communication and perceptions; social cognitive processes in political decisions; and the politics of intergroup behavior and social identity. The contributions address such exciting questions as how do political attitudes and values develop and change? What role do emotions and moral values play in political behavior? How do political messages and the media influence political perceptions? What are the psychological requirements of effective democratic decision making, and why do democracies sometimes fail? How can intergroup harmony be developed, and what is the role of social identity in political processes? As such, this volume integrates the role of cognitive, affective, social and cultural influences on political perception and behavior, offering an overview of the psychological mechanisms underlying political processes. It provides essential reading for teachers, students, researchers and practitioners in areas related to power, social influence and political behavior.

This volume examines communication processes within the grandmother-mother-daughter relationship, emphasizing an intergenerational perspective. Using observations of and extensive interviews with six sets of middle-income, Caucasian female family members, this book offers a heuristic account of intergenerational mother-daughter relational communication.
Author Michelle Miller-Day integrates and juxtaposes alternative experiences of social interaction, situating readers in the world of grandmothers, mothers, adult daughters, and granddaughters as they experience, describe, and analyze their family communication. Miller-Day incorporates aged mothers and younger mid-life mothers and their adult daughters into the research to illustrate how this type of maternal relationship is experienced at different points in a woman's life. With the inclusion of three generations of women, Miller-Day offers multigenerational perspectives on family, and examines them for patterns of maternal interaction, providing symbolic links across generational boundaries.
"Communication Among Grandmothers, Mothers, and Adult Daughters "enables readers to understand more completely the richly textured nature of maternal relationships. It will be an invaluable resource for scholars and researchers in the areas of communication and relationships, including family communication, intergenerational communication, women's studies, family studies, interpersonal communication, and relationships, as well as social workers, psychologists, and counselors, who strive to understand family communication processes and their dynamics across generational lines.

Originally published in 1988, the purpose of this book was to explore the interrelations among communication, social cognition and affect. The contributors, selected by the editors, were some of the best known in their fields and they significantly added to the knowledge of this interdisciplinary domain at the time. In late April 1986 the authors met at a conference centre at the University of Kentucky. They presented first drafts of their chapters and exchanged ideas. Out of these interactions came this book, which has a broad interest across several areas of psychology and communication. While answering a number of questions, the authors also posed others for future examination.

This book provides a diverse collection of studies reporting the effects of social influence processes in multiple cultures at both the universal and culture-specific levels. The book is characterized by three distinct features. First, the social influence process is considered as a ubiquitous and pervasive feature of human interaction. Second, the book represents a multicultural approach which includes both cross-cultural and culture-focused examinations. Third, the book emphasizes practical implications of the research presented. This volume incorporates theory and research stemming from three different approaches to social influence: social influence principles across cultures, social influence and social change across cultures, and culture and moral perspective in the social influence process. Because each of these three parts encompasses a considerable variety of research methodologies, social contexts, and cultures, each is proceeded by an integrative commentary authored by one of the book editors. These essays provide syntheses of the topics and themes within the corresponding sections and within the book as a whole. They also offer critical commentaries on both theoretical and methodological issues, raise suggestions for future research, and focus on practical applications. This book is intended for both scholars interested in cross- and multicultural research into the mechanisms of the social influence process and for the professional whose mission is to make planned changes in a society. Knowledge about the influence process, especially regarding how it works in different cultures and within several cultural groups, facilitates this goal. The practical implications ending each chapter serve as encouraging instructions for such applications.

A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.

Managing Interpersonal Conflict is a systematic review of conflict research in legal, institutional and relational contexts. Each chapter represents a summary of the existing quantitative social science research using meta-analysis, with contexts ranging from jury selection to peer mediation to homophobia reduction. The contributors provide connections between cutting-edge scholarship about abstract theoretical arguments, the needs of instructional and training pedagogy, and practical applications of information. The meta-analysis approach produces a unique informational resource, offering answers to key research questions addressing conflict. This volume serves as an invaluable resource for studying conflict, mediation, negotiation and facilitation in coursework; implementing and planning training programs; designing interventions; creating workshops; and conducting studies of conflict.

Intergroup competition and conflict create pervasive problems in human society, giving rise to such phenomena as prejudice, terrorism, ethnic cleansing, and interstate war. Citizens, policy makers, social workers, schoolteachers, and politicians wrestle with these problems, and with difficult questions these issues pose: What causes conflict to escalate? How should we manage conflict within communities, and also in society at large? Is conflict always bad, or does it have other more beneficial consequences? Social Conflict within and between Groups provides an overview of contemporary research from the social sciences on these questions. It brings together the research output of a number of leading researchers in psychology, management and economics, sociology and political science, and draws on the outcomes of ten prominent research programs conducted over the past five years. The chapters cover a range of fascinating topics, including prejudice and discrimination in multi-ethnic societies, and conflict and negotiation in the field of industrial relations. The authors also consider the possibilities for intervention at the interpersonal, intergroup and societal level. This is the first volume to provide an interdisciplinary overview of the various scientific approaches to studying the origins and consequences of social conflict. It will be of great interest to researchers, graduates and upper-level undergraduate students from across the social and behavioural sciences.