EXTENDING RESULTS OF MORGAN AND PARKER ABOUT COMMUTING GRAPHS

DOI10.1017/S0004972721000332MaRDI QIDQ5023514

Nicolas F. Beike, David G. Costanzo, Colin Heath, Rachel Carleton, Kaiwen Lu, J. D. Pearce, Mark L. Lewis

Publication date: 24 January 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07355

zbMATH Keywords

Frobenius groupcommuting graph\(A\)-group

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (2)

On groups with chordal power graph, including a classification in the case of finite simple groups ⋮ On the soluble graph of a finite group

Uses Software

• GAP
• Magma

Cites Work

• Unnamed Item
• Anisotropic groups of type \(A_n\) and the commuting graph of finite simple groups.
• On groups of even order
• The Magma algebra system. I: The user language
• There is no upper bound for the diameter of the commuting graph of a finite group
• The diameter of the commuting graph of a finite group with trivial centre.
• Finite groups whose Sylow subgroups are abelian
• The groups of order at most 2000
• On bounding the diameter of the commuting graph of a group
• ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
• The commuting graph of a soluble group
• Simple groups are characterized by their non-commuting graphs

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