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arxiv: 1602.03639 · v1 · pith:OEJLGHGOnew · submitted 2016-02-11 · 🧮 math.RA

Free subgroups in almost subnormal subgroups of general skew linear groups

classification 🧮 math.RA
keywords subgroupsalmostsubnormalfreegenerallinearapplicationsdescribed
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Let $D$ be a weakly locally finite division ring and $n$ a positive integer. In this paper, we investigate the problem on the existence of non-cyclic free subgroups in non-central almost subnormal subgroups of the general linear group ${\rm GL}_n(D)$. Further, some applications of this fact are also investigated. In particular, all infinite finitely generated almost subnormal subgroups of ${\rm GL}_n(D)$ are described.

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