Recognition of simple groups \(B_p(3)\) by the set of element orders.

DOI10.1007/S11202-010-0024-5zbMath1210.20020OpenAlexW2167558232MaRDI QIDQ606017

Wujie Shi, M. R. Zinov'eva, R. L. Shen

Publication date: 15 November 2010

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0024-5

zbMATH Keywords

prime graphssets of element ordersrecognition by spectrumfinite orthogonal groups

Mathematics Subject Classification ID

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

Related Items (5)

Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ On \(r\)-recognition by prime graph of \(B_p(3)\) where \(p\) is an odd prime. ⋮ Finite groups isospectral to simple groups ⋮ Recognition by spectrum of simple groups \(C_p(2)\). ⋮ On finite groups isospectral to simple classical groups.

Cites Work

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• Prime graph components of finite groups
• Prime power graphs for groups of Lie type
• Recognition of alternating groups of prime degree from their element orders
• A characterization of some orthogonal groups
• Pure quantitative characterization of finite simple groups.
• Prime graph components of finite almost simple groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Finite simple unisingular groups of Lie type

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