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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 33–45
(Mi znsl6255)
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This article is cited in 1 scientific paper (total in 1 paper)
Normality of elementary subgroup in $\operatorname{Sp}(2,A)$
E. Yu. Voronetsky St. Petersburg State University, St. Petersburg, Russia
Abstract:
Let $A$ be a ring with involution (associative, with identity), $e_1,\dots,e_n$ be a full system of hermitian idempotents in $A$ such that every $e_i$ generates $A$ as a two-sided ideal. This paper proves normality of the elementary subgroup in $\operatorname{Sp}(2,A)$ if $n\ge3$ and $A$ satisfies an analog of local stable rank condition.
Key words and phrases:
symplectic group, elementary subgroup.
Received: 08.12.2015
Citation:
E. Yu. Voronetsky, “Normality of elementary subgroup in $\operatorname{Sp}(2,A)$”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 33–45; J. Math. Sci. (N. Y.), 222:4 (2017), 386–393
Linking options:
https://www.mathnet.ru/eng/znsl6255 https://www.mathnet.ru/eng/znsl/v443/p33
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Abstract page: | 174 | Full-text PDF : | 31 | References: | 26 |
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