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First published in 1976, this A Theory of Group Structures is a study of the aggregation of individuals into groups, which cuts across many different social sciences. Volume one attempts to formulate a more rigorous theory of group structures by providing consistent definitions, assumptions, measures, methodology, theory and results. Volume two examines a sequence of twelve experiments and reports empirical tests of the theory presented in volume one. The result is a major revision of existing research into problems of group structure and a case study in paradigm development. This book will be of interest to students of all social sciences.
The first portion of the text is devoted to a review of those aspects of Lie groups necessary for the application of group theory to the physics of particles and fields. The second describes the way in which compact Lie groups are used to construct gauge theories.
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.
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.
Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
First published in 1976, this A Theory of Group Structures is a study of the aggregation of individuals into groups, which cuts across many different social sciences. Volume one attempts to formulate a more rigorous theory of group structures by providing consistent definitions, assumptions, measures, methodology, theory and results. This book will be of interest to students of all social sciences.
This volume presents a comprehensive, in-depth analysis of the theories, evidence and methodological issues of contingency theory - one of the major theoretical lenses used to view organizations.
This book puts forward the concept of “subjective anthropology” and outlines a theoretical system that will allow subjective anthropology to qualify as a new academic discipline in its own right. In an effort to respond to the field’s proper role as the science of humanity, subjective analysis has been introduced into the study of anthropology. The book fills two distinct gaps in our knowledge and understanding of modern man, offering detailed descriptions of personality and of groups, while also advancing the theory of “structure and choice.” The book formulates seven basic principles of subjective anthropology and divides anthropology into three major branches: subjective anthropology, cultural anthropology, and biological (or physical) anthropology, which can be further divided into sub-branches. The book pursues three key goals: advancing and developing the theoretical system of subjective anthropology, reconstructing the discipline of anthropology, and establishing a Chinese anthropology with Chinese characteristics, Chinese visions, and Chinese styles.