Recognition of the groups \(L_5(4)\) and \(U_4(4)\) by the prime graph.

DOI10.1007/S11253-012-0641-1zbMath1281.20017OpenAlexW2462714133MaRDI QIDQ1933327

P. Nosratpour, Mohammad-Reza Darafsheh

Publication date: 23 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0641-1

zbMATH Keywords

normal subgroupsfinite simple groupsprime graphsorders of elements

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)

Cites Work

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• A characterization of the finite simple group \(L_{16}(2)\) by its prime graph.
• Order of elements in the groups related to the general linear group.
• Prime graph components of finite groups
• Finite simple groups with narrow prime spectrum.
• Finite Groups in Which Every Element Has Prime Power Order
• Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum
• Involutions in Chevalley groups over fields of even order
• The Prime Graph of a Sporadic Simple Group
• Recognition of finite groups by the prime graph

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