Classes of Finite Groups [electronic resource] / by Adolfo Ballester-Bolinches, Luis M. Ezquerro.
Contributor(s): Ezquerro, Luis M [author.] | SpringerLink (Online service)Material type: TextPublisher: Dordrecht : Springer Netherlands, 2006Description: XI, 381 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781402047190Subject(s): Mathematics | Algebra | Associative rings | Rings (Algebra) | Group theory | Ordered algebraic structures | Mathematics | Group Theory and Generalizations | General Algebraic Systems | Order, Lattices, Ordered Algebraic Structures | Associative Rings and Algebras | AlgebraAdditional physical formats: Printed edition:: No titleDDC classification: 512.2 LOC classification: QA174-183Online resources: Click here to access online
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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.
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advances made, give a new approach to some classic topics, shed light on some fundamental facts that still remain unpublished and present some new subjects of research in the theory of classes of finite, not necessarily solvable, groups.