A New Characterization ofA10by its Noncommuting Graph

DOI10.1080/00927870701718906zbMath1153.20013OpenAlexW2089286223MaRDI QIDQ5456503

Lingli Wang, Wujie Shi

Publication date: 8 April 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701718906

zbMATH Keywords

conjugacy classesfinite simple groupsnoncommuting 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

Characterization of Aut(J₂) and Aut(M^cL) by Their Non-commuting Graphs ⋮ RECOGNIZING SOME FINITE SIMPLE GROUPS BY NONCOMMUTING GRAPH ⋮ Recognition by noncommuting graph of finite simple groups \(L_4(q)\). ⋮ RECOGNITION OF THE PROJECTIVE GENERAL LINEAR GROUP PGL(2, q) BY ITS NONCOMMUTING GRAPH ⋮ ON THOMPSON'S CONJECTURE FOR ALMOST SPORADIC SIMPLE GROUPS ⋮ Characterization of the alternating group by its non-commuting graph. ⋮ Recognition of some simple groups by their noncommuting graphs. ⋮ A NEW CHARACTERIZATION OF U₄(7) BY ITS NONCOMMUTING GRAPH ⋮ NOTES ON FINITE SIMPLE GROUPS WHOSE ORDERS HAVE THREE OR FOUR PRIME DIVISORS ⋮ Divisibility Graph for Symmetric and Alternating Groups

Cites Work

• Prime graph components of finite groups
• Further reflections on Thompson's conjecture
• On Thompson's conjecture
• Non-commuting graph of a group.
• On a Graph Related to Conjugacy Classes of Groups

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