Characterization of Aut(J2) and Aut(McL) by Their Non-commuting Graphs

DOI10.1142/S1005386711000228zbMath1227.20024MaRDI QIDQ3168902

Lingli Wang, Wujie Shi

Publication date: 27 April 2011

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

Full work available at URL: http://www.worldscinet.com/ac/18/1802/S1005386711000228.html

zbMATH Keywords

finite simple groupsautomorphism groupscommutatorsnon-commuting graphs

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45)

Related Items (3)

On automorphisms of a strongly regular graph with parameters \((96, 45, 24, 18)\) ⋮ ON THOMPSON'S CONJECTURE FOR ALMOST SPORADIC SIMPLE GROUPS ⋮ On automorphisms of a strongly regular graph with parameters \((88, 27, 6, 9)\)

Cites Work

• On the characterizability of the automorphism groups of sporadic simple groups by their element orders.
• Groups with the same non-commuting graph.
• Non-commuting graph of a group.
• OD-Characterization of Certain Finite Groups Having Connected Prime Graphs
• A New Characterization ofA₁₀by its Noncommuting Graph

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