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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 13–22
(Mi znsl2)
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This article is cited in 1 scientific paper (total in 1 paper)
On the intermediate subgroups of the general linear group containing group of quaternions
A. A. Bongarenko Saint Petersburg State University
Abstract:
Let $G=G(2,K)$ be a general linear group over a quadratic extention $K$ of the field $F$ (char $F\ne2$) and let $D=(\frac{a,b}F)$ be an algebra of quaternions with division containing $F$.
The subgroups $H$ of $G$ containing a matrix realisation of multiplicative group $D^*$ of the algebra $D$ considered. The discription of the rings of multipliers of the intermediate subgroups is gived.
Received: 18.09.1997
Citation:
A. A. Bongarenko, “On the intermediate subgroups of the general linear group containing group of quaternions”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 13–22; J. Math. Sci. (New York), 95:2 (1999), 2051–2057
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https://www.mathnet.ru/eng/znsl2 https://www.mathnet.ru/eng/znsl/v236/p13
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Abstract page: | 180 | Full-text PDF : | 55 | References: | 31 |
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