On finite groups isospectral to simple linear and unitary groups.

DOI10.1134/S0037446606010046zbMath1225.20017MaRDI QIDQ536625

Mariya A. Grechkoseeva, Andrey V. Vasilev, Alexey Mikhailovich Staroletov

Publication date: 19 May 2011

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

zbMATH Keywords

finite simple groupsfinite groups of Lie typecomposition factorsfinite linear groupssets of element ordersspectra of groupsfinite unitary groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (9)

On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮ On nonabelian simple groups having the same prime graph as an alternating group. ⋮ On the nilpotency of the solvable radical of a finite group isospectral to a simple group ⋮ Finite groups isospectral to simple groups ⋮ On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum ⋮ Almost recognizability by spectrum of finite simple linear groups of prime dimension. ⋮ On almost recognizability by spectrum of simple classical groups ⋮ Recognition of symplectic and orthogonal groups of small dimensions by spectrum ⋮ Almost recognizability by spectrum of simple exceptional groups of Lie type.

Cites Work

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• Recognition of the simple groups L3(q) by element orders
• The characterization of \(\text{PSL}(2,q)\) by its element orders

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