Finite groups with the same power graph

DOI10.1080/00927872.2021.1981921zbMath1505.20022arXiv2010.15038OpenAlexW3205129649MaRDI QIDQ5061585

Raffaele Scapellato, Mahsa Mirzargar

Publication date: 14 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15038

zbMATH Keywords

nilpotent grouppower graphconformal groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Rees semigroups of digraphs for classification of data.
• The structure and metric dimension of the power graph of a finite group
• The power graph of a finite group
• Cayley graphs as classifiers for data mining: the influence of asymmetries
• Commuting involution graphs for symmetric groups.
• Perfect codes in power graphs of finite groups
• Undirected power graphs of semigroups
• On the structure of the power graph and the enhanced power graph of a group
• The power graph of a torsion-free group
• On the power graph of a finite group
• The power graph of a finite group, II
• A SURVEY ON THE AUTOMORPHISM GROUPS OF THE COMMUTING GRAPHS AND POWER GRAPHS
• Power graphs: A survey
• Prime graph components of the simple groups of Lie type over the field of even characteristic