Infinite Groups Containing a Proper Hughes Subgroup H3(G)

被引：0
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作者：
W. Guo
D. V. Lytkina
V. D. Mazurov
机构：
[1] University of Science and Technology of China,School of Mathematical Sciences
[2] School of Science,undefined
[3] Hainan University,undefined
[4] Sobolev Institute of Mathematics,undefined
[5] Siberian State University of Telecommunications and Information Sciences,undefined
来源：
Algebra and Logic | 2021年 / 60卷
关键词：
Hughes subgroup; Engel group; group of exponent 3;
D O I：
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学科分类号：
摘要：
We consider groups in which H3(G) is both nontrivial and proper. In particular, it is proved that in such a group, |G : H3(G)| = 3.
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页码：196 / 199
页数：3
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