6533b826fe1ef96bd1283f0b

RESEARCH PRODUCT

Large characteristically simple sections of finite groups

Ramon Esteban-romeroAdolfo Ballester-bolinchesPaz Jiménez-seral

subject

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

description

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.

yearjournalcountryeditionlanguage
2021-11-22
10.1007/s13398-021-01188-zhttps://hdl.handle.net/10550/85898