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Finite simple groups in which all maximal subgroups are \(\pi\)-closed. I.

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Publication:338012
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DOI10.1134/S0081543816050035zbMath1352.20009MaRDI QIDQ338012

Vyacheslav Aleksandrovich Belonogov

Publication date: 3 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

sporadic groupsmaximal subgroupsfinite simple groups\(\pi\)-closed groupsprime spectra of groups


Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)




Cites Work

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  • On control of the prime spectrum of a finite simple group.
  • Finite groups all of whose 2-maximal subgroups are \(\pi\)-decomposable.
  • A criterion for the existence of normal \(\pi\) -complements in finite groups
  • Minimal nicht überauflösbare, endliche Gruppen
  • Minimal groups not possessing a given property
  • Normalteiler und maximale Untergruppen endlicher Gruppen
  • The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
  • The Finite Simple Groups
  • Endliche Gruppen I
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