Free subgroups in almost subnormal subgroups of general skew linear groups

Let DD be a weakly locally finite division ring and nn a positive integer. The problem under study concerns the existence of noncyclic free subgroups in noncentral almost subnormal subgroups of the general linear group GLn⁡(D)\operatorname {GL} _n(D). Further, some applications are also investigated...

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Bibliographic Details
Published in:St. Petersburg mathematical journal 2017-07, Vol.28 (5), p.707-717
Main Authors: Ngoc, N. K., Bien, M. H., Hai, B. X.
Format: Article
Language:English
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Research article
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Summary:Let DD be a weakly locally finite division ring and nn a positive integer. The problem under study concerns the existence of noncyclic free subgroups in noncentral almost subnormal subgroups of the general linear group GLn⁡(D)\operatorname {GL} _n(D). Further, some applications are also investigated. In particular, all infinite finitely generated almost subnormal subgroups of GLn⁡(D)\operatorname {GL} _n(D) are described.
ISSN:1061-0022
1547-7371
DOI:10.1090/spmj/1468