Finite groups with 2pqr2 elements of maximal order

被引：0

作者：

Tan, Sanbiao ^{[1
]}

Zhou, Min ^{[2
]}

Chen, Guiyun ^{[1
]}

Yan, Yanxiong ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Southwest Univ, Dept Finance, Chongqing 400715, Peoples R China

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 47期

关键词：

finite groups; solvable groups; the order of elements;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is an interesting and difficult topic to determine the structure of a finite group with a given number of elements of maxiaml order. This topic is related to Thompson's conjecture, that is, if two finite groups have the same order type and one of them is solvable, then the other is solvable. In this article, we continue to this investigation and show that finite groups with 2pqr2 elements of maximal order are solvable, where p, q, r are primes and 5 < p < q < r.

引用

页码：914 / 921

页数：8

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