Search results for "Characteristically simple group"

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Large characteristically simple sections of finite groups

2021

In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorphic to a characteristically simple group A, then G has a normal section C/R that is the direct product of k minimal normal subgroups of G/R isomorphic to A. This is a significant extension of the notion of crown for isomorphic chief factors.

Normal subgroupAlgebra and Number TheoryGroup (mathematics)Applied MathematicsExtension (predicate logic)Characteristically simple groupCombinatoricsComputational MathematicsSection (category theory)Simple (abstract algebra)Geometry and TopologyMatemàticaAnalysisDirect productMathematics
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