Some results on the main supergraph of finite groups

被引：6

作者：

Asboei, A. K. ^{[1
]}

Salehi, S. S. ^{[2
]}

机构：

[1] Farhangian Univ, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Babol Branch, Babol, Iran

来源：

ALGEBRA AND DISCRETE MATHEMATICS | 2020年 / 30卷 / 02期

关键词：

graph; main supergraph; finite groups; Thompson's problem; LINEAR-GROUPS; POWER GRAPH;

D O I：

10.12958/adm584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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) vertical bar o(y) or o(y) vertical bar o(x). In this paper, we will show that G congruent to PSL(2, p) or PGL(2, p) if and only if S(G) congruent to S(PSL(2, p)) or S ( PGL(2, p)), respectively. Also, we will show that if M is a sporadic simple group, then G congruent to M if only if S(G) congruent to S (M).

引用

页码：172 / 178

页数：7

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