Some results on the main supergraph of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Asboei, A.K., Salehi, S.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188561
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Some results on the main supergraph of finite groups / A.K. Asboei, S.S. Salehi // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 172–178. — Бібліогр.: 17 назв. — англ.

Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x) | o(y) or o(y) | o(x). In this paper, we will show that G ≅ PSL(2, p) or PGL(2, p) if and only if S(G) ≅ S(PSL(2, p)) or S( PGL(2, p)), respectively. Also, we...