Recognition by spectrum for finite simple groups of Lie type.

DOI10.1007/s11464-008-0018-9zbMath1153.20010OpenAlexW1993842516WikidataQ115377968 ScholiaQ115377968MaRDI QIDQ942953

Andrey V. Vasilev, Wujie Shi, Mariya A. Grechkoseeva

Publication date: 8 September 2008

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0018-9

zbMATH Keywords

finite simple groupsrecognition problemspectraprime graphssets of element ordersrecognizable 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

Recognizability of groups \(G_2(q)\) by spectrum. ⋮ Finite groups isospectral to simple groups ⋮ On spectra of covers of finite simple classical groups. ⋮ Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2 ⋮ On element orders in covers of finite simple classical groups. ⋮ Periodic groups whose all involutions are odd transpositions ⋮ On finite groups isospectral to simple linear and unitary groups. ⋮ On recognizability by spectrum of finite simple groups of types \(B_n\), \(C_n\), and \(^2D_n\) for \(n=2^k\).

Cites Work

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• Properties of element orders in covers for L(n,q) and U(n,q)
• The cyclic structure of maximal tori of the finite classical groups
• Spectra of finite linear and unitary groups
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