Finite groups with isomorphic non-commuting graphs have the same nilpotency property

DOI10.1016/j.jalgebra.2023.12.007OpenAlexW4389720741MaRDI QIDQ6140037

Hamid Shahverdi

Publication date: 19 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.12.007

zbMATH Keywords

nilpotent groupgraph isomorphismnon-commuting graph

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

• On the number of solutions of Goormaghtigh equation for given \(x\) and \(y\)
• Non-commuting graph of a group.
• Non-Commuting Graphs of Nilpotent Groups
• Commutativity Pattern of Finite Non-Abelianp-Groups Determine Their Orders
• Simple groups are characterized by their non-commuting graphs
• A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite groups with isomorphic non-commuting graphs have the same nilpotency property