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This article is cited in 16 scientific papers (total in 16 papers)
Research Papers
Free subgroups in almost subnormal subgroups of general skew linear groups
N. K. Ngoca, M. H. Bienb, B. X. Haia a University of Science, VNU-HCM, Faculty of Mathematics and Computer Science, 227 Nguyen Van Cu Str., Dist. 5, HCM-City, Vietnam
b Department of Basic Sciences, University of Architecture, 196 Pasteur Str., Dist. 1, HCM-City, Vietnam
Abstract:
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 noncyclic free subgroups in noncentral almost subnormal subgroups of the general linear group $\mathrm{GL}_n(D)$. Further, some applications of this fact are also investigated. In particular, all infinite finitely generated almost subnormal subgroups of $\mathrm{GL}_n(D)$ are described.
Keywords:
division rings, linear groups, almost subnormal subgroups, noncyclic free subgroups, generalized group identity.
Received: 20.04.2016
Citation:
N. K. Ngoc, M. H. Bien, B. X. Hai, “Free subgroups in almost subnormal subgroups of general skew linear groups”, Algebra i Analiz, 28:5 (2016), 220–235; St. Petersburg Math. J., 28:5 (2017), 707–717
Linking options:
https://www.mathnet.ru/eng/aa1510 https://www.mathnet.ru/eng/aa/v28/i5/p220
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