0000000000335522

AUTHOR

Peter Förster

showing 4 related works from this author

Projektive Klassen endlicher Gruppen

1984

Pure mathematicsGeneral MathematicsMathematicsMathematische Zeitschrift
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Homomorphs and wreath product extensions

1982

A homomorph is a class of (finite soluble) groups closed under the operation Q of taking epimorphic images. (All groups considered in this paper are finite and soluble.) Among those types of homomorphs that have found particular interest in the theory of finite soluble groups are formations and Schunck classes; the reader is referred to (2), § 2, for a definition of those classes. In the present paper we are interested in homomorphs satisfying the following additional closure property:(W0) if A is abelian with elementary Sylow subgroups, then each wreath product A G (with respect to an arbitrary permutation representation of G) with G ∊ is contained in .

Class (set theory)PermutationPure mathematicsWreath productGeneral MathematicsSylow theoremsRepresentation (systemics)Abelian groupMathematicsMathematical Proceedings of the Cambridge Philosophical Society
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Projektive klassen endlicher gruppen

1985

Pure mathematicsGeneral MathematicsMathematicsPublicacions de la Secció de Matemàtiques
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Closure operations for Schunck classes and formations of finite solvable groups

1979

The purpose of the present note is to investigate the closure operations common to both the operations of forming classes and formations. Furthermore, new descriptions of formations and saturated formations in terms of closure operations are given.

AlgebraSolvable groupGeneral MathematicsClosure (topology)MathematicsMathematical Proceedings of the Cambridge Philosophical Society
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