Non-Commuting Graphs of Nilpotent Groups

DOI10.1080/00927872.2013.798414zbMath1304.20040arXiv1304.4839OpenAlexW2964280978MaRDI QIDQ2876256

Hamid Shahverdi, Alireza Abdollahi

Publication date: 18 August 2014

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

Full work available at URL: https://arxiv.org/abs/1304.4839

zbMATH Keywords

finite nilpotent groupsnon-commuting graphsgraph isomorphismsgroups with Abelian centralizers

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)

Related Items (4)

Eulerian properties of non-commuting and non-cyclic graphs of finite groups ⋮ Finite groups with isomorphic non-commuting graphs have the same nilpotency property ⋮ A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs ⋮ A SURVEY ON THE AUTOMORPHISM GROUPS OF THE COMMUTING GRAPHS AND POWER GRAPHS

Cites Work

• Groups with the same non-commuting graph.
• Non-commuting graph of a group.
• Commutativity Pattern of Finite Non-Abelianp-Groups Determine Their Orders
• Simple groups are characterized by their non-commuting graphs
• On Finite Groups with Given Conjugate Types I

This page was built for publication: Non-Commuting Graphs of Nilpotent Groups