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Structure theory for canonical class...

Guo, Wenbin.

Structure theory for canonical classes of finite groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Structure theory for canonical classes of finite groupsby Wenbin Guo.
作者:	Guo, Wenbin.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
面頁冊數:	xiv, 359 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Finite groups.
電子資源:	http://dx.doi.org/10.1007/978-3-662-45747-4
ISBN:	9783662457474 (electronic bk.)

Structure theory for canonical classes of finite groups
Guo, Wenbin.

Structure theory for canonical classes of finite groups[electronic resource] /by Wenbin Guo. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xiv, 359 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783662457474 (electronic bk.)

Standard No.: 10.1007/978-3-662-45747-4doiSubjects--Topical Terms:

245404
Finite groups.

LC Class. No.: QA177

Dewey Class. No.: 512.23

Structure theory for canonical classes of finite groups
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505 0 $a 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.
520 $a 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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