RECOGNIZING SOME FINITE SIMPLE GROUPS BY NONCOMMUTING GRAPH

DOI10.1142/S0219498812500776zbMath1250.20012OpenAlexW1969776164MaRDI QIDQ2909808

Ali Reza Moghaddamfar, M. Kheirabadi

Publication date: 6 September 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812500776

zbMATH Keywords

finite simple groupsprime graphsprojective special linear groupsspectra of groupsrecognizable groupsnoncommuting graphsprojective special unitary groupsgroups with trivial center

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 (1)

ON THOMPSON'S CONJECTURE FOR ALMOST SPORADIC SIMPLE GROUPS

Cites Work

• Groups with the same non-commuting graph.
• Prime graph components of finite groups
• A new characterization of \(L_2(q)\) by its noncommuting graph.
• Recognition by noncommuting graph of finite simple groups \(L_4(q)\).
• Non-commuting graph of a group.
• RECOGNITION OF THE PROJECTIVE GENERAL LINEAR GROUP PGL(2, q) BY ITS NONCOMMUTING GRAPH
• More on the OD-Characterizability of a Finite Group
• Spectra of finite linear and unitary groups
• A NEW CHARACTERIZATION OF U₄(7) BY ITS NONCOMMUTING GRAPH
• On Zsigmondy primes
• The Prime Graph of a Sporadic Simple Group
• Recognition of finite groups by the prime graph
• A New Characterization ofA₁₀by its Noncommuting Graph
• Prime graph components of the simple groups of Lie type over the field of even characteristic

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