Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2021_33_6_a1, author = {P. B. Gvozdevskiy}, title = {Overgroups of subsystem subgroups in exceptional groups: nonideal levels}, journal = {Algebra i analiz}, pages = {9--48}, publisher = {mathdoc}, volume = {33}, number = {6}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2021_33_6_a1/} }
P. B. Gvozdevskiy. Overgroups of subsystem subgroups in exceptional groups: nonideal levels. Algebra i analiz, Tome 33 (2021) no. 6, pp. 9-48. http://geodesic.mathdoc.fr/item/AA_2021_33_6_a1/
[1] Borevich Z. I., Vavilov N. A., “Raspolozhenie podgrupp v polnoi lineinoi gruppe nad kommutativnym koltsom”, Tr. Mat. in-ta AN SSSR, 165, 1984, 24–42
[2] Burbaki N., Gruppy i algebry Li, Gl. 4-6, Mir, M., 1972
[3] Vavilov N. A., “O podgruppakh rasschepimykh ortogonalnykh grupp nad koltsom”, Sib. mat. zh., 29:4 (1988), 537–547
[4] Vavilov N. A., “O podgruppakh rasschepimykh klassicheskikh grupp”, Tr. Mat. in-ta RAN, 183, 1990, 29–42
[5] Vavilov N. A., Petrov V. A., “O nadgruppakh $\mathrm{Ep}(2l,R)$”, Algebra i analiz, 15:4 (2003), 72–114
[6] Vavilov N. A., Gavrilovich M. R., “$A_2$-dokazatelstvo strukturnykh teorem dlya grupp Shevalle tipov $E_6$ i $E_7$”, Algebra i analiz, 16:4 (2004), 54–87
[7] Vavilov N. A., Stepanov A. V., “Podgruppy polnoi lineinoi gruppy nad koltsom, udovletvoryayuschim usloviyam stabilnosti”, Izv. vuzov. Mat., 1989, no. 10, 19–25
[8] Vavilov N. A., Stepanov A. V., “Nadgruppy poluprostykh grupp”, Vestn. SamGU. Estestvennonauchn. ser., 2008, no. 3, 51–95
[9] Vavilov N. A., Schegolev A. V., “Nadgruppy subsystem subgroups v isklyuchitelnykh gruppakh: urovni”, Zap. nauch. semin. POMI, 400, 2012, 70–126
[10] Voronetskii E. Yu., “Gruppy, normalizuemye nechetnoi unitarnoi gruppoi”, Algebra i analiz, 31:6 (2019), 38–78
[11] Gvozdevskii P. B., “Nadgruppy podgrupp Levi I. Sluchai abeleva unipotentnogo radikala”, Algebra i analiz, 31:6 (2019), 79–121
[12] Gvozdevskii P. B., “Nadgruppy podsistemnykh podgrupp v isklyuchitelnykh gruppakh: $2{A}_1$-dokazatelstvo”, Algebra i analiz, 32:6 (2020), 72–100
[13] Gvozdevskii P. B., “Nadgruppy podsistemnykh podgrupp v isklyuchitelnykh gruppakh: vnutri sendvicha”, Algebra i analiz, 2021 (to appear) , arXiv: 2107.01249
[14] Golubchik I. Z., “O podgruppakh polnoi lineinoi gruppy $\mathrm{GL}_n({R})$ nad assotsiativnym koltsom ${R}$”, Uspekhi mat. nauk, 39:1 (1984), 125–126
[15] Koibaev V. A., “O podgruppakh polnoi lineinoi gruppy, soderzhaschikh gruppu elementarnykh kletochno-diagonalnykh matrits”, Vestn. Leningr. un-ta. Ser. 1: Mat. Mekh. Astronom., 13 (1982), 33–40
[16] Luzgarev A. Yu., “Opisanie nadgrupp $\mathrm{F}_4$ v $\mathrm{E}_6$ nad kommutativnym koltsom”, Algebra i analiz, 20:6 (2008), 148–185
[17] Stepanov A. V., “Opisanie podgrupp polnoi lineinoi gruppy nad koltsom pri pomoschi uslovii stabilnosti”, Koltsa i lineinye gruppy, Kubanskii gos. un-t, Krasnodar, 1988, 82–91
[18] Stepanov A. V., Strukturnaya teoriya i podgruppy grupp Shevalle nad koltsami, Doktor. diss., Sankt-Peterburg, 2014
[19] Khamfris Dzh., Vvedenie v teoriyu algebr Li i ikh predstavlenii, MTsNMO, M., 2003
[20] Schegolev A. V., “Nadgruppy blochno-diagonalnykh podgrupp giperbolicheskoi unitarnoi gruppy nad kvazi-konechnym koltsom: Osnovnye rezultaty”, Zap. nauch. semin. POMI, 443, 2016, 222–233
[21] Schegolev A. V., “Nadgruppy elementarnoi blochno-diagonalnoi podgruppy klassicheskoi simplekticheskoi gruppy nad proizvolnym kommutativnym koltsom”, Algebra i analiz, 30:6 (2018), 147–199
[22] Aschbacher M., “On the maximal subgroups of the finite classical groups”, Invent. Math., 76:3 (1984), 469–514
[23] Roozemond D. A., Algorithms for Lie algebras of algebraic groups, Ph.D. thesis, Techn. Univ., Eindhoven, 2010
[24] Shchegolev A., Overgroups of elementary block-diagonal subgroups in even unitary groups over quasi-finite rings, Ph.D. thesis, Fak. Math. Univ., Bielefeld, 2015
[25] Stepanov A. V., “Structure of Chevalley groups over rings via universal localization”, J. Algebra, 450 (2016), 522–548
[26] Taddei G., “Normalité des groupes élémentaire dans les groupes de Chevalley sur un anneau”, Applications of algebraic $K$-theory to algebraic geometry and number theory (Boulder, Colo, 1983), v. I, II, Contemp. Math., 55, Amer. Math. Soc., Providence, RI, 1986, 693–710
[27] Vavilov N. A., “Intermediate subgroups in Chevalley groups”, Groups of Lie type and their geometries (Como, 1993), London Math. Soc. Lecture Note Ser., 207, Cambridge Univ. Press, Cambridge, 1995, 233–280