Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff's theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area.
This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.

Originally published in 1964 The Experience of Higher Education reports the findings of about 400 intensive interviews with final year undergraduates at three universities - Cambridge, Leeds and Southampton - and a College of Advanced Technology in London. The discussion concentrates upon the aims and expectations with which students enter higher education; the relationship between teacher and pupil; the influence of residential patterns; and the students sense of the relevance of their education in a wider social context. The final chapter is a more personal reflection, in the light of the enquiry, upon the ideals and purposes of higher education.

This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam - one of the most promising in the modern theory of finite groups - the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions.

Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is enormous, and there are many monographs concerned with matrix groups, ranging from old, classical texts to ones published more recently. However, in the case when the dimension is infinite (and such cases arise quite often), the reality is quite different. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups, in the transition from the study of finite groups to the study of infinite groups which appeared about one hundred years ago. It is well known that this transition was extremely efficient and led to the development of a rich and central branch of algebra: Infinite group theory. The hope is that this book can be part of a similar transition in the field of linear groups. Features This is the first book dedicated to infinite-dimensional linear groups This is written for experts and graduate students specializing in algebra and parallel disciplines This book discusses a very new theory and accumulates many important and useful results

Based on an extensive national research project with global relevance, this pioneering volume draws on unique data on bullying in youth sports training collected from both athletes and coaches using a variety of methodological approaches. Nery, Neto, Rosado and Smith use this research to establish a baseline of the prevalence of bullying among young male athletes, offering evidence-based strategies for prevention and providing a solid theoretical basis for the development of anti-bullying intervention programs. Bullying in Youth Sports Training explores how often bullying occurs, how long it lasts, where and when bullying takes place, the coping strategies used by victims, and the individual roles of victims, bystanders and bullies. It provides new insights into theories of youth sport bullying and highlights the particular characteristics specific to bullying in sport. The backgrounds of bullies and victims are also explored, as well as the consequences and practical implications of sustained bullying. The book provides both theoretical and practical approaches to bullying in youth sport training, providing anti-bullying guidelines based on the results of the research. The book is essential reading for scholars and students in child development and sport sciences as well as sports coaches and professionals in mental health, education and social work.

This ground-breaking book is designed to raise awareness of human rights implications in psychology, and provide knowledge and tools enabling psychologists to put a human rights perspective into practice. Psychologists have always been deeply engaged in alleviating the harmful consequences human rights violations have on individuals. However, despite the fundamental role that human rights play for professional psychology and psychologists, human rights education is underdeveloped in psychologists' academic and vocational training. This book, the first of its kind, looks to change this, by: raising awareness among professional psychologists, university teachers and psychology students about their role as human rights promoters and protectors providing knowledge and tools enabling them to put a human rights perspective into practice providing texts and methods for teaching human rights. Featuring chapters from leading scholars in the field, spanning 18 countries and six continents, the book identifies how psychologists can ensure they are practising in a responsible way, as well as contributing to wider society with a clear knowledge of human rights issues in relation to culture, gender, organisations and more. Including hands-on recommendations, case studies and discussion points, this is essential reading for professional psychologists as part of continuing professional development and those in training and taking psychology courses. For additional electronic resources for students and teachers, see the support material tab on the Routledge book page: https://www.routledge.com/Human-Rights-Education-for-Psychologists/Hagenaars-Plavsic-Sveaass-Wagner-Wainwright/p/book/9780367222963

This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ." . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994.

This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described - e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems.

This book explores what social psychology can contribute to our understanding of real-life problems and how it can inform rational interventions in any area of social life. By reviewing some of the most recent achievements in applying social psychology to pressing contemporary problems, Forgas, Crano, and Fiedler convey a fundamentally optimistic message about social psychology's achievements and prospects. The book is organized into four sections. Part I focuses on the basic issues and methods of applying social psychology to real-life problems, discussing evolutionary influences on human sociability, the role of psychological 'mindsets' in interpreting reality, and the use of attitude change techniques to promote adaptive behaviors. Part II explores the applications of social psychology to improve individual health and well-being, including managing aggression, eating disorders, and improving therapeutic interactions. Part III turns to the application of social psychology to improve interpersonal relations and communication, including attachment processes in social relationships, the role of parent-child interaction in preventing adolescent suicide, and analyzing social relations in legal settings and online social networks. Finally, Part IV addresses the question of how social psychology may improve our understanding of public affairs and political behavior. The book will be of interest to students and academics in social psychology, and professionals working in applied settings.

This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.

This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. The formation of coalitions to achieve both collaborative and competitive goals is a phenomenon we see all around us. The list is long and varied: production cartels, political lobbies, customs unions, environmental coalitions, and ethnic alliances are just a few everyday instances. Drawing upon and extending his inaugural Lipsey Lectures at the University of Essex, Debraj Ray looks at coalition formation from the perspective of game theory. How are agreements determined? Which coalitions will form? And are such agreements invariably efficient from a social perspective? Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements. This book concentrates on pure theory, but discusses several potential applications, such as oligopoly and the provision of public goods.

Youth in Superdiverse Societies brings together theoretical, methodological and international approaches to the study of globalization, diversity, and acculturation in adolescence. It examines vital issues including migration, integration, cultural identities, ethnic minorities, and the interplay of ethnic and cultural diversity with experiences of growing up as an adolescent. This important volume focuses on understanding the experiences and consequences of multicultural societies and offers valuable new insights in the field of intergroup relations and the complexity of growingly heterogeneous societies. The book comprises four sections. The first includes fresh theoretical perspectives for studying youth development in multicultural societies, exploring topics such as superdiversity, globalization, bicultural identity development, polyculturalism, the interplay of acculturation and development, as well as developmental-ecological approaches. The second section highlights innovative methods in studying multicultural societies. It contains innovative dynamic concepts (e.g., experience-based sampling), methods for studying the nested structure of acculturative contexts, and suggestions for cross-comparative research to differentiate universal and context-specific processes. The third section examines social relations and social networks in diverse societies and features developmentally crucial contexts (e.g., family, peers, schools) and contributions on interethnic interactions in real-life contexts. The final section presents applications in natural settings and includes contributions on participatory action research and teachers dealings' with ethnic diversity. Each chapter provides a thorough overview of current research trends and findings, followed by detailed recommendations for future research, suggesting how the approaches can be cited, applied and improved. Youth in Superdiverse Societies is valuable reading for students studying adolescent acculturation and development in psychology, sociology, education, anthropology, linguistics and political science. It will also be of interest to scholars and researchers in social and developmental psychology, and related disciplines, as well as professionals in the field of migration.

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.

Examining creativity in Chinese societies from both a personal and contextual standpoint, this ground-breaking book offers readers a unique insight into the Chinese mind. It provides a review of the nature, origins, and consequences of creativity, deriving from empirical evidence in the Chinese context. Specifically, the book unravels the conceptualization of creativity and its relationships with various demographic and dispositional factors in Chinese societies. The book proceeds to give readers an understanding of how creativity maintains reciprocal relationships with various forms of well-being. The content of the book brings together empirical evidence and theory grounded on Chinese societies to offer researchers and students a unique realistic view of the nature of creativity there. This book will be a must read for any researcher or practitioner interested in this fascinating topic.

This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa theory.

Iwasawa theory is a modern and powerful branch of number theory and can be traced back to the Japanese mathematician Kenkichi Iwasawa, who introduced the systematic study of Z_p-extensions and p-adic L-functions, concentrating on the case of ideal class groups. Later this would be generalized to elliptic curves. Over the last few decades considerable progress has been made in automorphic Iwasawa theory, e.g. the proof of the Main Conjecture for GL(2) by Kato and Skinner & Urban. Techniques such as Hida s theory of p-adic modular forms and big Galois representations play a crucial part. Also a non-commutative Iwasawa theory of arbitrary p-adic Lie extensions has been developed. This volume aims to present a snapshot of the state of art of Iwasawa theory as of 2012. In particular it offers an introduction to Iwasawa theory (based on a preparatory course by Chris Wuthrich) and a survey of the proof of Skinner & Urban (based on a lecture course by Xin Wan)."

Celebrity culture has a pervasive presence in our everyday lives - perhaps more so than ever before. It shapes not simply the production and consumption of media content, but also the social values through which we experience the world. This collection analyzes this phenomenon, bringing together essays which explore celebrity across a range of media, cultural and political contexts.
The authors interrogate topics such as the intimacy of fame, political celebrity, stardom in American "quality" television (Sarah Jessica Parker), celebrity reality tv (I'm a Celebrity...Get Me Out of Here!), the circulation of the porn star, the gallery film (David/ David Beckham), the concept of cartoon celebrity (The Simpsons), fandom and celebrity (k.d lang, *NSYNC), celebrity in the tabloid press, celebrity magazines (heat, Celebrity Skins), the fame of the serial killer, to narratives of mental illness in celebrity culture.
The collection is organized into four themed sections. Fame Now broadly examines the contemporary contours of fame as they course through new media sites (such as Reality TV and the Internet), and different social, cultural and political spaces. Fame Body attempts to situate the body of the star or celebrity at the centre of the production, circulation and consumption of contemporary fame. Fame Simulation considers the increasingly strained relationship between celebrity and artifice and "authenticity." Fame Damage looks at the way the representation of fame is bound up with auto-destructive tendencies or dissolution.

This book examines some issues involving climate change, human trafficking, and other serious world challenges made worse by climate change. Climate change increases the risk of natural disasters and thus creates poverty and can cause situations of conflict and instability. Displacement can occur giving traffickers an opportunity to exploit affected people. In the fuzzy graph theory part of the book, the relatively new concepts of fuzzy soft semigraphs and graph structures are used to study human trafficking, as well as its time intuitionistic fuzzy sets that have been introduced to model forest fires. The notion of legal and illegal incidence strength is used to analyze immigration to the USA. The examination of return refugees to their origin countries is undertaken. The neighborhood connectivity index is determined for trafficking in various regions in the world. The cycle connectivity measure for the directed graph of the flow from South America to the USA is calculated. It is determined that there is a need for improvement in government response by countries. Outside the area of fuzzy graph theory, a new approach to examine climate change is introduced. Social network theory is used to study feedback processes that effect climate forcing. Tipping points in climate change are considered. The relationship between terrorism and climate change is examined. Ethical issues concerning the obligation of business organizations to reduce carbon emissions are also considered. Nonstandard analysis is a possible new area that could be used by scholars of mathematics of uncertainty. A foundation is laid to aid the researcher in the understanding of nonstandard analysis. In order to accomplish this, a discussion of some basic concepts from first-order logic is presented as some concepts of mathematics of uncertainty. An application to the theory of relativity is presented.

Trust is a crucial facet of social functioning that feeds into our relationships with individuals, groups, and organizations. The Psychology of Interpersonal Trust: Theory and Research examines existing theories, frameworks, and models of trust as well as the methods and designs for examining it. To fully examine how interpersonal trust impacts our lives, Rotenberg reviews the many essential topics trust relates to, including close relationships, trust games, behavioural trust, and trust development. Designed to encourage researchers to recognize the links between different approaches to trust, this book begins with an overview of the different approaches to interpersonal trust and a description of the methods used to investigate it. Following on from this, each chapter introduces a new subtopic or context, including lying, adjustment, socialization, social media, politics, and health. Each subtopic begins with a short monologue (to provide a personal perspective) and covers basic theory and research. Rotenberg's applied focus demonstrates the relevance of interpersonal trust and highlights the issues and problems people face in contemporary society. This is essential reading for students, researchers, and academics in social psychology, especially those with a specific interest in the concept of trust.

Originally published in 1992, Channeling is a comprehensive bibliography on the subject of channeling. The book defines channeling as any message received or conveyed from transcendent entities and covers material on the history of channeling, those that have claimed to transcend death, contact with UFOs and contemporary channeling groups. The book acts as a research guide and seeks to outline the historical roots of channeling, explaining its major teachings and considers its significance as a spiritual movement. It provides sources from books, booklets, articles, and ephemeral material and offers a comprehensive list of both primary and secondary materials related to channeling, the bibliography takes the most diverse and useful sources of the time. This volume although published almost 30 years ago, still provides a unique and insightful collection for academics of religion, in particular those researching spiritualism and the occult.

This introduction to the representation theory of compact Lie groups follows Herman Weyl 's original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts.

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.

"Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.

This volume brings together research on cyberbullying across contexts, age groups, and cultures to gain a fuller perspective of the prevalence and impact of electronic mistreatment on individual, group, and organizational outcomes. This is the first book to integrate research on cyberbullying across three contexts: schools, workplaces, and romantic relationships, providing a unique synthesis of lifespan contexts. For each context, the expert chapter authors bring together three different 'lenses': existing research on the predictors and outcomes of cyberbullying within that context; a cross-cultural review across national borders and cultural boundaries; and a developmental perspective that examines age-related differences in cyberbullying within that context. The book closes by drawing commonalities across these different contexts leading to a richer understanding of cyberbullying as a whole and some possible avenues for future research and practice. This is fascinating reading for researchers and upper-level students in social psychology, counseling, school psychology, industrial-organizational psychology, and developmental psychology, as well as educators and administrators.

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.

Originally published in 1964 The Experience of Higher Education reports the findings of about 400 intensive interviews with final year undergraduates at three universities - Cambridge, Leeds and Southampton - and a College of Advanced Technology in London. The discussion concentrates upon the aims and expectations with which students enter higher education; the relationship between teacher and pupil; the influence of residential patterns; and the students sense of the relevance of their education in a wider social context. The final chapter is a more personal reflection, in the light of the enquiry, upon the ideals and purposes of higher education.