Structure Theory for Canonical Classes of Finite Groups

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Structure Theory for Canonical Classes of Finite Groups by Wenbin Guo, Springer Berlin Heidelberg
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Author: Wenbin Guo ISBN: 9783662457474
Publisher: Springer Berlin Heidelberg Publication: April 23, 2015
Imprint: Springer Language: English
Author: Wenbin Guo
ISBN: 9783662457474
Publisher: Springer Berlin Heidelberg
Publication: April 23, 2015
Imprint: Springer
Language: English

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.

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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.

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