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A new characterization of the simple group \(A_1(p^n)\).

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Publication:1760499
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DOI10.1134/S0037446612020073zbMath1257.20014MaRDI QIDQ1760499

Li-Li Li, Gui-Yun Chen

Publication date: 14 November 2012

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


zbMATH Keywords

finite simple groupsprime graphsorder componentsmaximal Abelian subgroupssets of subgroup orders


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)


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Quasirecognition of E6(q) by the orders of maximal abelian subgroups ⋮ A new characterization of alternating groups with nonconnected prime graphs ⋮ Groups with the same orders of maximal abelian subgroups as \(A_2(q)\). ⋮ On recognizability of \(\mathrm{PSU}_3(q)\) by the orders of maximal abelian subgroups



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