The main supergraph of finite groups

被引：0
|
作者：
Asboei, Alireza Khalili [1 ]
Amiri, Seyed Sadegh Salehi [2 ]
机构：
[1] Arhangian Univ, Dept Math, Tehran, Iran
[2] Islamic Azad Univ, Babol Branch, Dept Math, Babol, Iran
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2022年 / 28卷
关键词：
same order type groups; non-solvable; main supergraph; Thompson's problem; CHARACTERIZABILITY; Q);
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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) | o(y) or o(y) | o(x). In this paper, we will show that if S(G) congruent to S(S), where S belongs to a large class of finite non-solvable groups, then G congruent to S. This work is an important step in solving Thompson's problem.
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页码：1057 / 1063
页数：7
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