A new characterization of \(\text{PGL}(2,p)\) by its noncommuting graph.

zbMath1238.20018MaRDI QIDQ648459

Maryam Khatami, Behrooz Khosravi

Publication date: 22 November 2011

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol34_3_22.html

zbMATH Keywords

finite simple groupsrecognizable groupsprojective general linear groupsorder componentsnoncommuting graphs

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)

Related Items (4)

Characterization of \(\text{PGL}(2,p)\) by its order and one conjugacy class size. ⋮ Recognition by noncommuting graph of finite simple groups \(L_4(q)\). ⋮ A characterization of automorphism groups of simple \(K_3\)-groups. ⋮ Recognizing simple \(K_4\)-groups by few special conjugacy class sizes

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