Introduces a large number of achievements and development on the research of finite groups in the last two decades
Presents new ideas and research methods and puts forward open problems in the field
Targets mainly at postgraduate students and researchers as textbook and reference
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.
Author(s): Wenbin Guo
Edition: 1st
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2015
Language: English
Pages: C, XIV, 359
Tags: Group Theory and Generalizations
Front Matter....Pages i-xiv
The \(\mathfrak{F}\) -Hypercenter and Its Generalizations....Pages 1-61
Groups With Given Systems of X-Permutable Subgroups....Pages 63-128
Between Complement and Supplement....Pages 129-190
Groups With Given Maximal Chains of Subgroups....Pages 191-248
Formations and Fitting Classes....Pages 249-335
Back Matter....Pages 337-359
