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.

引用

页码：1057 / 1063

页数：7

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