Characterization of groups \(E_6(3)\) and \(^2E_6(3)\) by Gruenberg-Kegel graph

DOI10.33048/semi.2021.18.124zbMath1496.20020arXiv2110.09175OpenAlexW4225965616MaRDI QIDQ2145059

Viktor Panshin, Alexey Mikhailovich Staroletov, Antonina P. Khramova, Natal'ya Vladimirovna Maslova

Publication date: 17 June 2022

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.09175

zbMATH Keywords

finite groupsimple groupGruenberg-Kegel graphexceptional group of Lie type \(E_6\)

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Finite groups whose element orders are consecutive integers
• On recognition of alternating groups by prime graph
• Finite simple groups with narrow prime spectrum.
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Finite simple unisingular groups of Lie type
• Quasirecognition of E6(q) by the orders of maximal abelian subgroups
• Element orders in covers of finite simple groups of Lie type

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