On the existence of hereditarily \(G \)-permutable subgroups in exceptional groups \(G\) of Lie type

DOI10.1134/S003744662305004XzbMath1523.20031OpenAlexW4387063104MaRDI QIDQ6046796

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Publication date: 6 October 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744662305004x

zbMATH Keywords

finite group of Lie typepermutable subgroupSuzuki simple groupshereditarily \(G\)-permutable subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40) General theory for finite permutation groups (20B05) Exceptional groups (20G41)

Cites Work

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• Structure Theory for Canonical Classes of Finite Groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• The Finite Simple Groups
• The local structure of finite groups of characteristic 2 type
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• The maximal subgroups of
• The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups

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