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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 321, Pages 240–250 (Mi znsl417)  
This article is cited in 1 scientific paper (total in 1 paper)

Subgroups of the orthogonal groups of even degree over a local field

K. Yu. Lavrov

Saint-Petersburg State University
Full-text PDF (189 kB) Citations (1)
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Abstract: In this paper, we obtain the description of subgroups of orthogonal linear groups $\operatorname{SO}(2l,K)$ and $\operatorname{GO}(2l,K)$ over the field of fractions $K$ of a local principal ideal domain $R$ containing the maximal split tori $T=T(2l,R)$ with entries from $R$. Similar result for overgroups $T$ in case of semilocal ring and field was obtained earlier by N. Vavilov. Result of the present paper generalizes also some known results.
Received: 28.12.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 3, Pages 3966–3971
DOI: https://doi.org/10.1007/s10958-006-0216-5
Bibliographic databases:
UDC: 512
Language: Russian
Citation: K. Yu. Lavrov, “Subgroups of the orthogonal groups of even degree over a local field”, Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, POMI, St. Petersburg, 2005, 240–250; J. Math. Sci. (N. Y.), 136:3 (2006), 3966–3971
Citation in format AMSBIB
\Bibitem{Lav05}
\by K.~Yu.~Lavrov
\paper Subgroups of the orthogonal groups of even degree over a~local field
\inbook Problems in the theory of representations of algebras and groups. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 321
\pages 240--250
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138421}
\zmath{https://zbmath.org/?q=an:1082.20027}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 3
\pages 3966--3971
\crossref{https://doi.org/10.1007/s10958-006-0216-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744806945}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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