Search results for "fitting class"

showing 2 items of 2 documents

Products of pairwise totally permutable groups

2003

[EN] In this paper finite groups factorized as products of pairwise totally permutable subgroups are studied in the framework of Fitting classes

AlgebraDiscrete mathematicsMathematics Subject ClassificationGeneral MathematicsPairwise comparisonPermutable primeProducts of groupsFitting classesMATEMATICA APLICADAFinite groupsMathematics
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Injectors with a central socle in a finite solvable group

2013

Abstract In response to an Open Question of Doerk and Hawkes (1992) [2, IX §4, p. 628] , we shall describe three constructions for the Z π -injectors of a finite solvable group, where Z π is the Fitting class formed by the finite solvable groups whose π -socle is central (and π is a set of prime numbers).

Class (set theory)Algebra and Number Theoryfitting classinjectorPrime numberFitting subgroupCombinatoricsSet (abstract data type)Soclecentral socleSolvable groupfinite solvable group theoryNilpotent groupMathematics
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