THE EXISTENCE OR NONEXISTENCE OF NON-COMMUTING GRAPHS WITH PARTICULAR PROPERTIES

DOI10.1142/S0219498813500643zbMath1292.20025OpenAlexW2098753179MaRDI QIDQ5746952

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Publication date: 11 February 2014

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

Full work available at URL: https://doi.org/10.1142/s0219498813500643

zbMATH Keywords

finite groupsstrongly regular graphscomplete multipartite graphsnon-commuting graphs

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

Unnamed Item ⋮ Splitting via noncommutativity ⋮ Rainbow connectivity of the non-commuting graph of a finite group ⋮ On groups whose commuting graph on a transversal is strongly regular ⋮ Groups whose non-commuting graph on a transversal is planar or toroidal

Cites Work

• On maximal Abelian subgroups in finite 2-groups.
• p -Groups with Abelian Centralizers
• On Finite Groups with Given Conjugate Types I
• Unnamed Item

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