Classes of Finite Groups

Classes of Finite Groups

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This book covers the latest achievements of the Theory of Classes of Finite Groups. It introduces some unpublished and fundamental advances in this Theory and provides a new insight into some classic facts in this area. By gathering the research of many authors scattered in hundreds of papers the book contributes to the understanding of the structure of finite groups by adapting and extending the successful techniques of the Theory of Finite Soluble Groups.For an arbitrary Fitting class F, Fischer was able to prove that the existence of Fischer F-subgroups in every soluble group. ... In 1967 the concept of injector appears in the celebrated paper a€œInjektoren endlicher aufl Iˆosbarer Gruppena€ by B. Fischer, W. Gasch Iˆutz, ... and 2. if N1 and N2 are subnormal subgroups of a group G and G = a€ˆN1, N2a€‰, then G aˆˆ F. Hence a class F is a Fitting class if and only if Fanbsp;...

Title:Classes of Finite Groups
Author: Adolfo Ballester-Bollinches, Luis M. Ezquerro
Publisher:Springer Science & Business Media - 2006-07-10

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