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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 34–41
(Mi znsl4)
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Garlands containing the general linear groups over a intermediate field
Z. I. Borevich, V. A. Koibaev, I. V. Lavrent'ev Saint-Petersburg State University
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
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
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https://www.mathnet.ru/eng/znsl4 https://www.mathnet.ru/eng/znsl/v236/p34
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Abstract page: | 260 | Full-text PDF : | 57 | References: | 45 |
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