Трансвекции в надгруппах нерасщепимого тора
Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 4, pp. 22-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. A. Koibaev; A. V. Shilov. Трансвекции в надгруппах нерасщепимого тора. Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 4, pp. 22-31. http://geodesic.mathdoc.fr/item/VMJ_2009_11_4_a4/

[1] Bondarenko A. A., “Raspolozhenie podgrupp, soderzhaschikh nerazvetvlennyi kvadratichnyi tor, v polnoi lineinoi gruppe stepeni 2 nad lokalnym chislovym polem ($p\neq 2$)”, Zap. nauch. semin. POMI, 211, 1994, 67–79 | MR

[2] Borevich Z. I., Koibaev V. A., “O koltsakh mnozhitelei, svyazannykh s promezhutochnymi podgruppami, dlya kvadratichnykh torov”, Vestnik SPbGU, 1:2 (1993), 5–10 | MR | Zbl

[3] Vavilov N. A., Nesterov V. V., “Geometriya mikrovesovykh torov”, Vladikavk. mat. zhurn., 10:1 (2008), 10–23 | MR

[4] Vavilov N. A., Stepanov A. V., “Nadgruppy poluprostykh grupp”, Vestnik SamGU. Estestv.-nauch. ser., 62:3 (2008), 51–95 | MR

[5] Dzigoeva V. S., Koibaev V. A., “Promezhutochnye podgruppy v polnoi lineinoi gruppe vtorogo poryadka nad polem ratsionalnykh funktsii, soderzhaschie kvadratichnyi tor”, Vladikavk. mat. zhurn., 10:1 (2008), 27–34 | MR

[6] Koibaev V. A., “Podgruppy gruppy $GL(2,\mathbb{Q})$, soderzhaschie nerasschepimyi maksimalnyi tor”, Dokl. AN SSSR, 312:1 (1990), 36–38 | MR

[7] Koibaev V. A., “Podgruppy gruppy $GL(2,k)$, soderzhaschie nerasschepimyi maksimalnyi tor”, Zap. nauch. semin. POMI, 221, 1994, 136–145 | MR

[8] Koibaev V. A., “Transvektsii v podgruppakh polnoi lineinoi gruppy, soderzhaschikh nerasschepimyi maksimalnyi tor”, Algebra i analiz, 21:5 (2009), 70–86 | MR

[9] Djokovic D. Z., “Subgroups of compact Lie groups containing a maximal torus are closed”, Proc. Amer. Math. Soc., 83:2 (1981), 431–432 | DOI | MR | Zbl

[10] Dye R. H., “Maximal subgroups of symplectic groups stabilizing spreads. I; II”, J. Algebra, 87:2 (1984), 493–509 ; J. London. Math. Soc., 40:2 (1989), 215–226 | DOI | MR | Zbl | DOI | MR | Zbl

[11] Dye R. H., “Maximal subgroups of $\mathrm{PS}p_{6n}(q)$ stabilizing spreads of totally isotropic planes”, J. Algebra, 99 (1986), 111–129 | DOI | MR

[12] Dye R. H., “Spreads and classes of maximal subgroups of $\mathrm{GL}_{n}(q)$, $\mathrm{SL}_{n}(q)$, $\mathrm{PGL}_{n}(q)$ and $\mathrm{PSL}_{n}(q)$”, Ann. Math. Pure Appl., 158 (1991), 33–50 | DOI | MR | Zbl

[13] Kantor W. M., “Linear groups containing a Singer cycle”, J. Algebra, 62:1 (1980), 232–234 | DOI | MR | Zbl

[14] Platonov V. P., “Subgroups of algebraic groups over local or a global field containing a maximal torus”, C.R. Acad. Sci. Paris, 318:10 (1994), 899–903 | MR | Zbl

[15] Seitz G. M., “Subgroups of finite groups of Lie type”, J. Algebra, 61:1 (1979), 16–27 | DOI | MR | Zbl

[16] Seitz G. M., “Root subgroups for maximal tori in finite groups of Lie type”, Pacif. J. Math., 106:1 (1983), 153–244 | DOI | MR | Zbl