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Algebra i Analiz, 2016, Volume 28, Issue 5, Pages 220–235 (Mi aa1510)  

This article is cited in 15 scientific papers (total in 15 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
References:
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.
Funding agency Grant number
Vietnam National University HoChiMinh City (VNU-HCM) B2016-18-01
This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number B2016-18-01.
Received: 20.04.2016
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 5, Pages 707–717
DOI: https://doi.org/10.1090/spmj/1468
Bibliographic databases:
Document Type: Article
Language: English
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
Citation in format AMSBIB
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\paper Free subgroups in almost subnormal subgroups of general skew linear groups
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\issue 5
\pages 220--235
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\jour St. Petersburg Math. J.
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\pages 707--717
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  • https://www.mathnet.ru/eng/aa/v28/i5/p220
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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