A note on the power graphs of finite nilpotent groups

DOI10.2298/FIL2007451JzbMath1499.20066OpenAlexW3127246060MaRDI QIDQ5865314

Vivek Kumar Jain, Pradeep Kumar

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2007451j

zbMATH Keywords

nilpotent groupsindependence number\(p\)-groupspower graphgeneralized extraspecial \(p\)-groupsmaximal cyclic subgroups

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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• The structure and metric dimension of the power graph of a finite group
• Edge-maximality of power graphs of finite cyclic groups
• The power graph of a finite group
• On the independence number of the power graph of a finite 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
• The number of spanning trees of power graphs associated with specific groups and some applications
• On the characteristic polynomial of power graphs
• A note on the power graph of a finite group
• Power graphs: A survey

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