Maximal Subgroups of Almost Subnormal Subgroups in Division Rings

被引：0
|
作者：
Bui Xuan Hai
机构：
[1] University of Science,Faculty of Mathematics and Computer Science
[2] Vietnam National University,undefined
来源：
Acta Mathematica Vietnamica | 2022年 / 47卷
关键词：
Division ring; -subgroup; Maximal subgroup; Almost subnormal subgroup; 16K20; 16K40;
D O I：
暂无
中图分类号：
学科分类号：
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：12
相关论文
共 50 条
12345