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Алгебра и анализ, 2016, том 28, выпуск 5, страницы 220–235
(Mi aa1510)
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Эта публикация цитируется в 15 научных статьях (всего в 15 статьях)
Статьи
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
Аннотация:
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.
Ключевые слова:
division rings, linear groups, almost subnormal subgroups, noncyclic free subgroups, generalized group identity.
Поступила в редакцию: 20.04.2016
Образец цитирования:
N. K. Ngoc, M. H. Bien, B. X. Hai, “Free subgroups in almost subnormal subgroups of general skew linear groups”, Алгебра и анализ, 28:5 (2016), 220–235; St. Petersburg Math. J., 28:5 (2017), 707–717
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1510 https://www.mathnet.ru/rus/aa/v28/i5/p220
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