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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 33–45 (Mi znsl6255)  
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
Full-text PDF (213 kB) Citations (1)
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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
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 222, Issue 4, Pages 386–393
DOI: https://doi.org/10.1007/s10958-017-3309-4
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Vor16}
\by E.~Yu.~Voronetsky
\paper Normality of elementary subgroup in~$\operatorname{Sp}(2,A)$
\inbook Problems in the theory of representations of algebras and groups. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 443
\pages 33--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507763}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 222
\issue 4
\pages 386--393
\crossref{https://doi.org/10.1007/s10958-017-3309-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014783998}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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