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Structure Theory for Canonical Classes of Finite Groups

  • Wenbin Guo

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Wenbin Guo
    Pages 129-190
  3. Wenbin Guo
    Pages 249-335
  4. Back Matter
    Pages 337-359

About this book

Introduction

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.

Keywords

Nilpotant groups Solvable groups Sylow subgroups X-permutable subgroups product of subgroups series and lattices of subgroups

Authors and affiliations

  • Wenbin Guo
    • 1
  1. 1.School of Mathematical SciencesUniversity of Science and Technology of ChinaHefeiChina

Bibliographic information