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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 114, Pages 180–186
(Mi znsl1777)
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This article is cited in 1 scientific paper (total in 1 paper)
Lower central series and derived series of net subgroups of the general linear group
Kh. Roloff
Abstract:
Over a commutative ring $R$ with invertible element 2 and with radical $\mathfrak J$, nets (i.e., tables $\sigma=(\sigma_{ij})$ of ideals $\sigma_{ij}$ such that $\sigma_{i\Gamma}\sigma_{\Gamma j}\subset\sigma_{ij}$) such that $\sigma_{ii}\subset\mathfrak J$ are considered. Such nets are called pseudoradical. The groups of the lower central series and the derived series are explicitly constructed for the corresponding net subgroups $G(\sigma)$ (of the general linear group $GL(n,R)$) in terms of $\sigma$.
Citation:
Kh. Roloff, “Lower central series and derived series of net subgroups of the general linear group”, Modules and algebraic groups, Zap. Nauchn. Sem. LOMI, 114, "Nauka", Leningrad. Otdel., Leningrad, 1982, 180–186; J. Soviet Math., 27:4 (1984), 2968–2974
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https://www.mathnet.ru/eng/znsl1777 https://www.mathnet.ru/eng/znsl/v114/p180
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Abstract page: | 138 | Full-text PDF : | 77 |
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