Infinite Groups Containing a Proper Hughes Subgroup H3(G)

被引：0

作者：

Guo, W. ^{[1
,2
]}

Lytkina, D., V ^{[3
,4
]}

Mazurov, V. D. ^{[3
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei, Peoples R China

[2] Hainan Univ, Sch Sci, Haikou, Hainan, Peoples R China

[3] Sobolev Inst Math, Novosibirsk, Russia

[4] Siberian State Univ Telecommun & Informat Sci, Novosibirsk, Russia

来源：

ALGEBRA AND LOGIC | 2021年 / 60卷 / 03期

关键词：

Hughes subgroup; Engel group; group of exponent 3;

D O I：

10.1007/s10469-021-09641-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider groups in which H-3(G) is both nontrivial and proper. In particular, it is proved that in such a group, |G : H-3(G)| = 3.

引用

页码：196 / 199

页数：4

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