Maximal Subgroups of Almost Subnormal Subgroups in Division Rings

被引：0
|
作者：
Bui Xuan Hai [1 ,2 ]
机构：
[1] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam
[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam
来源：
ACTA MATHEMATICA VIETNAMICA | 2022年 / 47卷 / 01期
关键词：
Division ring; FC-subgroup; Maximal subgroup; Almost subnormal subgroup;
D O I：
10.1007/s40306-021-00456-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate maximal subgroups of an almost subnormal subgroup G in a division ring D whose center is infinite. Among results, we prove that if M is such a maximal subgroup, then M is abelian provided M is either locally finite or FC-group, and D is weakly locally finite. Also, we prove a theorem on the existence of non-cyclic free subgroups of a maximal subgroup M in such a G.
引用
收藏
页码：197 / 209
页数：13
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