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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 34–41 (Mi znsl4)  
Garlands containing the general linear groups over a intermediate field

Z. I. Borevich, V. A. Koibaev, I. V. Lavrent'ev

Saint-Petersburg State University
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Abstract: Let $K/k$ be a finite extension of fields with intermediate subfield $L$ and let $H=$GL$_L(k)$ be the general linear group of the all $L$-linear invertible mappings of the vector space of the field $k$ over $L$. It is proved that the intermediate between GL$_k(K)^H$ and the normalizae of $H$ subgroups form a goarland.
Received: 04.04.1997
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 2, Pages 2065–2069
DOI: https://doi.org/10.1007/BF02169960
Bibliographic databases:
UDC: 512.8
Language: Russian
Citation: Z. I. Borevich, V. A. Koibaev, I. V. Lavrent'ev, “Garlands containing the general linear groups over a intermediate field”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 34–41; J. Math. Sci. (New York), 95:2 (1999), 2065–2069
Citation in format AMSBIB
\Bibitem{BorKoiLav97}
\by Z.~I.~Borevich, V.~A.~Koibaev, I.~V.~Lavrent'ev
\paper Garlands containing the general linear groups over a~intermediate field
\inbook Problems in the theory of representations of algebras and groups. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 236
\pages 34--41
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754442}
\zmath{https://zbmath.org/?q=an:0935.20041}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 2
\pages 2065--2069
\crossref{https://doi.org/10.1007/BF02169960}
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