Structure Theory for Canonical Classes of Finite Groups / by Wenbin Guo.

Format:

Book

Author/Creator:

Guo, Wenbin, Author.

Language:

English

Subjects (All):

Group theory.

Group Theory and Generalizations.

Local Subjects:

Group Theory and Generalizations.

Physical Description:

1 online resource (369 p.)

Edition:

1st ed. 2015.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.

Language Note:

English

Summary:

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.

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

3-662-45747-4