Structure Theory for Canonical Classes of Finite Groups

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.

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 Includes supplementary material: sn.pub/extras

Inhalt
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