Between the enhanced power graph and the commuting graph

DOI10.1002/jgt.22871zbMath1522.05182arXiv2012.03789OpenAlexW3110704126MaRDI QIDQ6093151

Bojan Kuzma, Peter J. Cameron

Publication date: 6 October 2023

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

Full work available at URL: https://arxiv.org/abs/2012.03789

zbMATH Keywords

Schur multipliercentral extensioncommuting graphBogomolov multiplierenhanced power graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Finite groups satisfying the independence property

Cites Work

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• Automorphisms and stem extensions
• On groups of even order
• Group extensions, representations, and the Schur multiplicator
• Probabilistic generation of finite simple groups
• The non-commuting, non-generating graph of a nilpotent group
• On groups whose commuting graph on a transversal is strongly regular
• On the structure of the power graph and the enhanced power graph of a group
• The Bogomolov Multiplier of Finite Simple Groups
• Commuting probabilities of finite groups
• Commutativity preserving extensions of groups
• Isoclinisms and covering groups
• The Second Homology Group of a Group; Relations among Commutators

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