Classes of Finite Groups

Adolfo Ballester-Bolinches, Luis M. Ezquerro

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English

Springer Verlag
01 June 2006

Mathematics & Sciences; Mathematics; Algebra; Groups & group theory

Series: Mathematics and Its Applications

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advances made, give a new approach to some classic topics, shed light on some fundamental facts that still remain unpublished and present some new subjects of research in the theory of classes of finite, not necessarily solvable, groups.

By: Adolfo Ballester-Bolinches, Luis M. Ezquerro
Imprint: Springer Verlag
Country of Publication: United States
Volume: v. 584
Dimensions: Height: 297mm, Width: 210mm, Spine: 22mm
Weight: 2.150kg
ISBN: 9781402047183
ISBN 10: 1402047185
Series: Mathematics and Its Applications
Pages: 400
Publication Date: 01 June 2006
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for Classes of Finite Groups

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)