On recognizability by spectrum of finite simple groups of types \(B_n\), \(C_n\), and \(^2D_n\) for \(n=2^k\).

DOI10.1134/S0081543809070207zbMath1238.20021OpenAlexW2100530492MaRDI QIDQ764747

Anatoli Kondrat'ev, Ilya B. Gorshkov, Andrey V. Vasilev, Alexey Mikhailovich Staroletov, Mariya A. Grechkoseeva

Publication date: 14 March 2012

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

Full work available at URL: https://doi.org/10.1134/s0081543809070207

zbMATH Keywords

finite simple groupsfinite symplectic groupsprime graphssets of element ordersspectra of groupsrecognizable groupsrecognition by spectrumfinite orthogonal groupsquasi-recognizability

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)

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On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮ On spectra of almost simple groups with symplectic or orthogonal socle ⋮ Groups with the same prime graph as the orthogonal group \(B_n(3)\). ⋮ Composition factors of the finite groups isospectral to simple classical groups ⋮ Finite groups isospectral to simple groups ⋮ On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum ⋮ On almost recognizability by spectrum of simple classical groups

Cites Work

• Unnamed Item
• Recognition by spectrum for finite simple groups of Lie type.
• Prime graph components of finite groups
• Prime power graphs for groups of Lie type
• The cyclic structure of maximal tori of the finite classical groups
• Centralizers of Semisimple Elements in the Finite Classical Groups
• Finite simple unisingular groups of Lie type