A theorem of finite groups with 18p elements having maximal order

被引：8

作者：

Jiang, Youyi ^{[1
]}

机构：

[1] Chongqing Three Gorges Coll, Dept Math, Chongqing 404000, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2008年 / 15卷 / 02期

关键词：

finite group; solvable group; order of element;

D O I：

10.1142/S1005386708000291

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that for any prime p, a finite group with 18p elements having maximal order is solvable. This result provides some information in solving an open problem proposed by Thompson.

引用

页码：317 / 329

页数：13

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