Geodesic
On the intermediate subgroups of the general linear group containing group of quaternions
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 13-22 
A. A. Bongarenko. On the intermediate subgroups of the general linear group containing group of quaternions. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 13-22. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a1/
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     title = {On the intermediate subgroups of the general linear group containing group of quaternions},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a1/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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