Classes of Finite Groups / Edition 1

by Adolfo Ballester-Bolinches, Luis M. Ezquerro

Overview

Many group theorists all over the world have been trying in the last twenty-five years to extend and adapt the magnificent methods of the Theory of Finite Soluble Groups to the more ambitious universe of all finite groups. This is a natural progression after the classification of finite simple groups but the achievements in this area are scattered in various papers.

Our objectives in this book were to gather, order and examine all this material, including the latest advances made, give a new approach to some classic topics, shed light on some fundamental facts that still remain unpublished and present some new subjects of research in the theory of classes of finite, not necessarily solvable, groups.

Product Details

ISBN-13:	9789048171798
Publisher:	Springer Netherlands
Publication date:	09/08/2011
Series:	Mathematics and Its Applications , #584
Edition description:	2006
Pages:	381
Product dimensions:	6.30(w) x 9.45(h) x 0.03(d)

Table of Contents

Maximal subgroups and chief factors.- Classes of groups and their properties.- X-local formations.- Normalisers and prefrattini subgroups.- Subgroups of soluble type.- F-subnormality.- Fitting classes and injectors.

Editorial Reviews

From the reviews:

"The authors of the book under review aim to collect what can be said in the same way about finite groups, soluble or not. … The book is very helpful for the reader to obtain information on recent results, a valuable source for anybody doing research in this area. … The style is similar to that of the series of ‘Ergebnisberichte’ with informative proofs and some direct references to the literature." (H. Heineken, Mathematical Reviews, Issue 2007 e)

From the Publisher