On extraction of transvections in overgroups of a non-split maximal torus
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 14-17
Cet article a éte moissonné depuis la source Math-Net.Ru
Let $E(\sigma_{A})$ be a subgroup generated by all transvections of the net group $G(\sigma_A)$. Then $TE(\sigma_A)$ is also a group generated by the torus and the root subgroup items in the first column of the elementary group $E(\sigma_A)$.
@article{VMJ_2013_15_1_a1,
author = {N. A. Dzhusoeva},
title = {On extraction of transvections in overgroups of a~non-split maximal torus},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {14--17},
year = {2013},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a1/}
}
N. A. Dzhusoeva. On extraction of transvections in overgroups of a non-split maximal torus. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 14-17. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a1/
[1] Borevich Z. I., “Opisanie podgrupp polnoi lineinoi gruppy, soderzhaschikh gruppu diagonalnykh matrits”, Zap. nauch. semin. POMI RAN, 64, 1976, 12–29 | MR | Zbl
[2] Koibaev V. A., “Transvektsii v podgruppakh polnoi lineinoi gruppy, soderzhaschikh nerasschepimyi maksimalnyi tor”, Algebra i analiz, 21:5 (2009), 70–86 | MR | Zbl
[3] Koibaev V. A., Podgruppy gruppy $\mathrm{GL}(2,k)$, soderzhaschie nerasschepimyi tor, Itogi nauki. YuFO. Ser. mat. monogr., VNTs RAN i RSO-A, Vladikavkaz, 2009, 183 pp. | Zbl
[4] Koibaev V. A., Shilov A. V., “O podgruppakh polnoi lineinoi gruppy, soderzhaschikh nerasschepimyi maksimalnyi tor”, Zap. nauch. semin. POMI RAN, 375, 2010, 130–139 | MR | Zbl