NON-CYCLIC GRAPH ASSOCIATED WITH A GROUP

DOI10.1142/S0219498809003321zbMath1183.20021arXiv0810.0345OpenAlexW2964126713MaRDI QIDQ3636258

No author found.

Publication date: 30 June 2009

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

Full work available at URL: https://arxiv.org/abs/0810.0345

zbMATH Keywords

cliquessolvable groupsdiametersnon-commuting graphscyclicizersdomination numbersfinite noncyclic groupsnon-cyclic graphsnon-locally-cyclic groups

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)

Related Items (12)

Non-commuting graphs of rings ⋮ Automorphism groups of supergraphs of the power graph of a finite group ⋮ Unnamed Item ⋮ A survey on enhanced power graphs of finite groups ⋮ Eulerian properties of non-commuting and non-cyclic graphs of finite groups ⋮ On the non-cyclic graph of a group ⋮ Finite groups whose noncyclic graphs have positive genus ⋮ Crosscap of the non-cyclic graph of groups ⋮ A Generalization of Noncommuting Graph via Automorphisms of a Group ⋮ A graph associated to centralizer of elements of a group ⋮ Graphs defined on groups ⋮ Finite groups with star-free noncyclic graphs

Cites Work

• Insoluble groups with the rewriting property \(P_ 8\)
• Simple torsion-free groups in which the intersection of any two non-trivial subgroups is non-trivial
• Non-commuting graph of a group.
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• Noncyclic Graph of a Group

This page was built for publication: NON-CYCLIC GRAPH ASSOCIATED WITH A GROUP