On the structure of finite groups isospectral to an alternating group.

DOI10.1134/S0081543811020192zbMath1233.20016MaRDI QIDQ643826

I. A. Vakula

Publication date: 2 November 2011

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

zbMATH Keywords

finite groupsalternating groupschief factorsrecognizabilitysets of element ordersspectra of groupsisospectral groupsGruenberg-Kegel graphs

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)

Related Items (7)

On Thompson's conjecture for alternating groups of large degree ⋮ On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361. ⋮ A new characterization of L2(p3) ⋮ A new characterization of alternating groups with nonconnected prime graphs ⋮ Thompson’s conjecture for alternating groups ⋮ On groups having the prime graph as alternating and symmetric groups ⋮ On characterization by order and prime graph for alternating groups.

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Cites Work

• Prime graph components of finite groups
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