Maximal Subgroups of Almost Subnormal Subgroups in Division Rings

被引:0
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作者
Bui Xuan Hai
机构
[1] University of Science,Faculty of Mathematics and Computer Science
[2] Vietnam National University,undefined
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关键词
Division ring; -subgroup; Maximal subgroup; Almost subnormal subgroup; 16K20; 16K40;
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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.
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页码:197 / 209
页数:12
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