Large characteristically simple sections of finite groups View Full Text


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Article Info

DATE

2021-11-22

AUTHORS

A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral

ABSTRACT

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. More... »

PAGES

41

References to SciGraph publications

  • 2004. The Theory of Finite Groups, An Introduction in NONE
  • 1962-12. Praefrattinigruppen in ARCHIV DER MATHEMATIK
  • 1984-01. Nonabelian crowns and Schunck classes of finite groups in ARCHIV DER MATHEMATIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s13398-021-01188-z

    DOI

    http://dx.doi.org/10.1007/s13398-021-01188-z

    DIMENSIONS

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