Recognizability of the finite simple groups by spectrum and order.

DOI10.1134/S1064562410020146zbMath1202.20018OpenAlexW2088181519MaRDI QIDQ606552

Victor D. Mazurov, Mariya A. Grechkoseeva, Andrey V. Vasilev

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410020146

zbMATH Keywords

finite simple groupssets of element ordersrecognizable groupsspectra of finite groupsorders of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

OD-characterization of alternating groups \(A_{p+d}\) ⋮ The recognition of finite simple groups with no elements of order $10$ by their element orders

Cites Work

• Prime graph components of finite groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2

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