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Structure Theory for Canonical Classes of Finite Groups

Wenbin Guo

$130.95   $105.07

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English
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
18 October 2016
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.

By:  
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication:   Germany
Edition:   Softcover reprint of the original 1st ed. 2015
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 20mm
Weight:   5.679kg
ISBN:   9783662516225
ISBN 10:   3662516225
Pages:   359
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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

Reviews for Structure Theory for Canonical Classes of Finite Groups

The book under review aims to be a continuation of these references and to analyze, systematize and report about subsequent developments in the theory of finite groups. ... A section at the end of each chapter includes additional related information and open problems. ... The book is addressed to people familiar with the theory of classes of groups and certainly of interest for researchers in this area of research. (M. Dolores Perez-Ramos, Mathematical Reviews, June, 2016) The interested reader of this book is the specialist of general structure theory of groups, who will find a great number of results easily accessible in a unified presentation ready for deeper study, so far accessible only scattered in original research papers. ... The author boldly undertook and has successfully completed the task of presenting the diversified research methods and results, combining the application oriented approach with inviting exposition and pertinent examples. (Janos Kurdics, zbMATH 1343.20021, 2016)


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