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This article is cited in 5 scientific papers (total in 5 papers)
Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks
O. Yu. Dashkova
Abstract:
We are concerned with locally soluble linear groups of infinite central dimension and infinite sectional $p$-rank, $p\ge0$, in which every proper non-Abelian subgroup of infinite sectional $p$-rank has finite central dimension. It is proved that such groups are soluble.
Keywords:
linear group, locally soluble group, solubility.
Received: 14.07.2007 Revised: 15.05.2008
Citation:
O. Yu. Dashkova, “Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks”, Algebra Logika, 47:5 (2008), 601–616; Algebra and Logic, 47:5 (2008), 340–347
Linking options:
https://www.mathnet.ru/eng/al378 https://www.mathnet.ru/eng/al/v47/i5/p601
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Abstract page: | 284 | Full-text PDF : | 69 | References: | 43 | First page: | 4 |
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