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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 1, Pages 14–17
(Mi vmj445)
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On extraction of transvections in overgroups of a non-split maximal torus
N. A. Dzhusoeva North-Ossetia State University, Russia, Vladikavkaz
Abstract:
Let $E(\sigma_{A})$ be a subgroup generated by all transvections of the net group $G(\sigma_A)$. Then $TE(\sigma_A)$ is also a group generated by the torus and the root subgroup items in the first column of the elementary group $E(\sigma_A)$.
Key words:
overgroups, intermediate subgroups, elementary group, non-split maximal torus, transvection.
Received: 09.04.2012
Citation:
N. A. Dzhusoeva, “On extraction of transvections in overgroups of a non-split maximal torus”, Vladikavkaz. Mat. Zh., 15:1 (2013), 14–17
Linking options:
https://www.mathnet.ru/eng/vmj445 https://www.mathnet.ru/eng/vmj/v15/i1/p14
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Abstract page: | 324 | Full-text PDF : | 62 | References: | 35 | First page: | 1 |
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