Finite almost simple 4-primary groups with connected Gruenberg-Kegel graph

被引：0

作者：

Minigulov, N. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620108, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2019年 / 25卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

finite group; almost simple group; 4-primary group; Gruenberg-Kegel graph;

D O I：

10.21538/0134-4889-2019-25-4-142-146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. Denote by pi(G) the set of prime divisors of the order of G. The Gruenberg-Kegel graph (prime graph) of G is the graph with the vertex set pi(G) in which two different vertices p and q are adjacent if and only if G has an element of order pq. If vertical bar pi(G)vertical bar = n, then the group G is called n-primary. In 2011, A.S. Kondrat'ev and I.V. Khramtsov described finite almost simple 4-primary groups with disconnected Gruenberg-Kegel graph. In the present paper we describe finite almost simple 4-primary groups with connected Gruenberg-Kegel graph. For each of these groups, its Gruenberg-Kegel graph is found. The results are presented in a table. According to the table, there are 32 such groups. The results are obtained with the use of the computer system GAP.

引用

页码：142 / 146

页数：5

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