The Commuting Graphs on Dicyclic Groups

• 作者: Jing Chen Lang Tang
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 799-806
• 页数: 8页
• 语种: 英文
• DOI: 10.1142/S1005386720000668

摘要

For a group G and a non-empty subset Ωof G,the commuting graph C(G,Ω) of Ω is a graph whose vertex set is Ωand any two vertices are adjacent if and only if they commute in G.Define T4n =<a,b | a2n =b4 =1,an =b2,b-1ab =a-1>,the dicyclic group of order 4n (n ≥ 3),which is also known as the generalized quaternion group.We mainly investigate the properties and metric dimension of the commuting graphs on the dicyclic group T4n.