Groups with the same non-commuting graph.

DOI10.1016/j.dam.2008.06.010zbMath1184.20023OpenAlexW1968161690MaRDI QIDQ1028482

Mohammad-Reza Darafsheh

Publication date: 30 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.06.010

zbMATH Keywords

finite simple groupsGruenberg-Kegel graphsnon-commuting graphsgraph isomorphisms

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

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Cites Work

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• On finite rational groups and related topics
• Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\).
• Prime graph components of finite groups
• Further reflections on Thompson's conjecture
• On Thompson's conjecture
• A new characterization of \(\text{PSU}(p,q)\).
• Non-commuting graph of a group.
• A New Characterization ofPSL(p,q)
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS

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