On \(\theta\)-commutators and the corresponding non-commuting graphs

DOI10.1515/MATH-2017-0126zbMath1380.05102OpenAlexW2784507494MaRDI QIDQ1698473

Ahmad Erfanian, S. Shalchi, Mohammad Farrokhi D. G.

Publication date: 15 February 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0126

zbMATH Keywords

automorphismindependence numberchromatic numbercommutatormultipartite graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Commutator calculus (20F12)

Cites Work

• Unnamed Item
• On generalized conjugate classes in a finite group
• The absolute centre of a group
• Autocommutator subgroups of finite groups
• An order-reversing duality map for conjugacy classes in Lusztig's canonical quotient
• Groups covered by finitely many cosets or subgroups

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