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.
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页码：196 / 199
页数：4
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