Geodesic
On maximal subgroups of the general linear group over rational functions field
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 4, pp. 12-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a class of the maximal subgroups of the general linear group $G=\mathrm{GL}(n,k(x))$ of degree $n$ over a field of the rational functions $k(x)$ with coefficients in a field $k$ of odd characteristic, containing non-split maximal torus associated with the radical extension of the basic field $k(x)$. 
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     title = {On maximal subgroups of the general linear group over rational functions field},
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N. A. Dzhusoeva; V. S. Dzigoeva; V. A. Koibaev. On maximal subgroups of the general linear group over rational functions field. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 4, pp. 12-14. http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a1/

[1] Borevich Z. I., “Opisanie podgrupp polnoi lineinoi gruppy, soderzhaschikh gruppu diagonalnykh matrits”, Zap. nauch. seminarov LOMI, 64, 1976, 12–29 | MR | Zbl

[2] Borevich Z. I., Shafarevich I. R., Teoriya chisel, 3-e izd., Nauka, M., 1985, 503 pp. | MR | Zbl

[3] Koibaev V. A., Podgruppy gruppy $\mathrm{GL}(2,k)$, soderzhaschie nerasschepimyi tor, Itogi nauki. YuFO. Ser. mat. monogr., VNTs RAN, Vladikavkaz, 2009, 183 pp.

[4] Koibaev V. A., Shilov A. V., “O podgruppakh polnoi lineinoi gruppy, soderzhaschikh nerasschepimyi maksimalnyi tor”, Zap. nauch. seminarov POMI, 375, 2010, 130–139 | MR | Zbl