Almost recognizability by spectrum of finite simple linear groups of prime dimension.

DOI10.1134/S0037446612040076zbMath1270.20011MaRDI QIDQ1760539

Daniil Vsevolodovich Lytkin, Mariya A. Grechkoseeva

Publication date: 14 November 2012

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

zbMATH Keywords

finite simple groupsprime graphssets of element ordersspectra of finite groupssimple linear groupsquasirecognizable groupsquasirecognizability by spectrum

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 (7)

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 ⋮ On recognition of alternating groups by prime graph ⋮ On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type ⋮ Finite groups isospectral to simple groups ⋮ On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum ⋮ On finite groups isospectral to simple classical groups.

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