On recognizability of some finite simple orthogonal groups by spectrum.

DOI10.1134/S0081543809060029zbMath1228.20016MaRDI QIDQ643724

Anatoli Kondrat'ev, O. A. Alekseeva

Publication date: 2 November 2011

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

zbMATH Keywords

finite simple groupsprime graphssets of element ordersrecognizable groupsspectra of finite groupsrecognition by spectrumfinite orthogonal groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (6)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type ⋮ Finite groups isospectral to simple groups ⋮ On finite groups isospectral to simple classical groups. ⋮ Graphs defined on groups ⋮ Recognition by spectrum for simple classical groups in characteristic 2.

Cites Work

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• Recognition by spectrum of the groups \(^2D_{2^m+1}(3)\).
• Prime graph components of finite groups
• Quasirecognizability by the Set of Element Orders for Groups 3 D 4(q) and F 4(q), for q Odd
• Quasirecognizability by the Set of Element Orders for Groups 3 D 4(q), for q Even
• Recognition by spectrum for finite linear groups over fields of characteristic 2
• Finite simple unisingular groups of Lie type

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