Recognition of some simple groups by their noncommuting graphs.

DOI10.1007/s00605-009-0097-zzbMath1219.20015OpenAlexW2068778352MaRDI QIDQ971925

Liangcai Zhang, Wujie Shi

Publication date: 17 May 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0097-z

zbMATH Keywords

finite simple groupsprojective special linear groupsnoncommuting graphsorders of maximal Abelian subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (2)

Recognition by noncommuting graph of finite simple groups \(L_4(q)\). ⋮ Local dissymmetry on graphs and related algebraic structures

Cites Work

• Groups with the same non-commuting graph.
• Prime graph components of finite groups
• Exceptional action of the simple groups \(L_4(q)\) in the defining characteristic.
• Non-commuting graph of a group.
• On finite simple groups of order divisible by three primes only
• A New Characterization ofA₁₀by its Noncommuting Graph
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