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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 375, Pages 130–139 (Mi znsl3611)  
This article is cited in 4 scientific papers (total in 4 papers)

On subgroups of the general linear group containing a non-split maximal torus

V. A. Koibaeva, A. V. Shilovb

a North-Ossetia State University, Vladikavkaz, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
Full-text PDF (579 kB) Citations (4)
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Abstract: Let $G=\mathrm{GL}(n,k)$ be the general linear group of degree $n$ over a field $k$ of odd characteristic. We consider subgroups of $G$ containing a non-split maximal torus stemming from a radical extension of degree $n$ of the ground field $k$. We describe the structure of nets of ideals over a ring, related to intermediate subgroups containing a transvection. Bibl. – 13 titles.
Key words and phrases: overgroups, intermediate subgroups, non-split maximal torus, transvection.
Received: 17.11.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 3, Pages 380–385
DOI: https://doi.org/10.1007/s10958-010-0142-4
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: V. A. Koibaev, A. V. Shilov, “On subgroups of the general linear group containing a non-split maximal torus”, Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, POMI, St. Petersburg, 2010, 130–139; J. Math. Sci. (N. Y.), 171:3 (2010), 380–385
Citation in format AMSBIB
\Bibitem{KoiShi10}
\by V.~A.~Koibaev, A.~V.~Shilov
\paper On subgroups of the general linear group containing a~non-split maximal torus
\inbook Problems in the theory of representations of algebras and groups. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 375
\pages 130--139
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3611}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 3
\pages 380--385
\crossref{https://doi.org/10.1007/s10958-010-0142-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649450245}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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