Structure Theory for Canonical Classes of Finite Groups
Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
| 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.
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.
