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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. This book will be of interest to students of all social sciences.
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.
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.
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 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.
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.