The commuting graph of a solvable \(A\)-group

DOI10.1515/jgth-2023-0076MaRDI QIDQ6661339

Mark L. Lewis, Rachel Carleton

Publication date: 13 January 2025

Published in: Journal of Group Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Cites Work

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• Anisotropic groups of type \(A_n\) and the commuting graph of finite simple groups.
• 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.
• The construction of soluble groups.
• On bounding the diameter of the commuting graph of a group
• ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
• EXTENDING RESULTS OF MORGAN AND PARKER ABOUT COMMUTING GRAPHS
• The commuting graph of a soluble group
• On the Sylow Systems of a Soluble Group^†
• On the System Normalizers of a Soluble Group

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