Cover image for Structure Theory for Canonical Classes of Finite Groups
Başlık:
Structure Theory for Canonical Classes of Finite Groups
Yazar:
Guo, Wenbin. author.
ISBN:
9783662457474
Fiziksel Tanım:
XIV, 359 p. online resource.
Contents:
The F-hypercentre and its generalizations -- Groups with given systems of X-permutable subgroups -- Between complement and supplement -- Groups with given maximal chains of subgroups -- Formations and Fitting classes.
Abstract:
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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