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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 338, Pages 155–172 (Mi znsl170)  

This article is cited in 4 scientific papers (total in 4 papers)

Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring

E. V. Dybkova

Saint-Petersburg State University
Full-text PDF (231 kB) Citations (4)
References:
Abstract: We consider overgroups of the diagonal subgroup in the hyperbolic unitary group over a simple Artin ring. We have proved that in most cases the lattice of the subgroups in question admits the standard description. In particular, this holds for all infinite rings. In our previous papers the similar result was obtained for fields and skew field.
Received: 30.10.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 145, Issue 1, Pages 4781–4789
DOI: https://doi.org/10.1007/s10958-007-0309-9
Bibliographic databases:
Language: Russian
Citation: E. V. Dybkova, “Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring”, Problems in the theory of representations of algebras and groups. Part 14, Zap. Nauchn. Sem. POMI, 338, POMI, St. Petersburg, 2006, 155–172; J. Math. Sci. (N. Y.), 145:1 (2007), 4781–4789
Citation in format AMSBIB
\Bibitem{Dyb06}
\by E.~V.~Dybkova
\paper Overgroups of the diagonal group in the hyperbolic unitary group over a~simple Artin ring
\inbook Problems in the theory of representations of algebras and groups. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 338
\pages 155--172
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl170}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2355331}
\zmath{https://zbmath.org/?q=an:1120.20053}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 145
\issue 1
\pages 4781--4789
\crossref{https://doi.org/10.1007/s10958-007-0309-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547519773}
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  • https://www.mathnet.ru/eng/znsl170
  • https://www.mathnet.ru/eng/znsl/v338/p155
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:248
    Full-text PDF :48
    References:49
     
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