Finite groups with graphs containing no triangles

✍ Scribed by Ming Fang; Pu Zhang

• Book ID: 104140645
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 74 KB
• Volume: 264
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00142-x

✦ Synopsis

Let G be a non-Abelian finite group, Γ (G) the attached graph related to its conjugacy classes. The aim of this paper is to prove that the symmetric group S 3 , the dihedral group D 5 , the three pairwise non-isomorphic non-Abelian groups of order 12, and the non-Abelian group T 21 of order 21, is the complete list of all G such that Γ (G) contains no triangles.