Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2013_6_1_a6, author = {Vladimir M. Levchuk and Galina S. Suleimanova}, title = {Thompson subgroups and large abelian unipotent subgroups of {Lie-type} groups}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {63--73}, publisher = {mathdoc}, volume = {6}, number = {1}, year = {2013}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/} }
TY - JOUR AU - Vladimir M. Levchuk AU - Galina S. Suleimanova TI - Thompson subgroups and large abelian unipotent subgroups of Lie-type groups JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2013 SP - 63 EP - 73 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/ LA - en ID - JSFU_2013_6_1_a6 ER -
%0 Journal Article %A Vladimir M. Levchuk %A Galina S. Suleimanova %T Thompson subgroups and large abelian unipotent subgroups of Lie-type groups %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2013 %P 63-73 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/ %G en %F JSFU_2013_6_1_a6
Vladimir M. Levchuk; Galina S. Suleimanova. Thompson subgroups and large abelian unipotent subgroups of Lie-type groups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 63-73. http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/
[1] A. I. Mal'tsev, “Commutative subalgebras in semisimple Lie algebras”, Izv. Akad. Nauk SSSR. Ser. Mat., 9:4 (1945), 291–300 (in Russian) | MR | Zbl
[2] A. S. Kondratiev, “Subgroups of finite Chevalley groups”, Uspekhi Mat. Nauk, 41:1 (1986), 57–96 (in Russian) | MR | Zbl
[3] E. P. Vdovin, “Maximal orders of abelian subgroups in finite Chevalley groups”, Math. Notes, 69:4 (2001), 475–498 | DOI | MR | Zbl
[4] E. P. Vdovin, “Large abelian unipotent subgroups of finite Chevalley groups”, Algebra and Logic, 40:5 (2001), 292–305 | DOI | MR | Zbl
[5] V. M. Levchuk, G. S. Suleimanova, “The normal structure of unipotent subgroups in Lie-type groups and related questions”, Doklady Mathematics, 77:2 (2008), 284–287 | DOI | MR | Zbl
[6] V. M. Levchuk, G. S. Suleimanova, “Automorphisms and normal structure of unipotent subgroups of finitary Chevalley groups”, Proceed. of the Steklov Inst. Math., 267, Suppl. 1, 2009, S118–S127 | DOI | MR | Zbl
[7] V. M. Levchuk, G. S. Suleimanova, “The normal structure of the unipotent subgroup in Lie-type groups and its extremal subgroups”, J. Math. Sci., 185:3 (2012), 448–457 | DOI | MR | Zbl
[8] V. M. Levchuk, G. S. Suleimanova, “Extremal and Maximal Normal Abelian Subgroups of a Maximal Unipotent Subgroup in Lie Type Groups”, J. Algebra, 349:1 (2012), 98–116 | DOI | MR | Zbl
[9] G. S. Suleimanova, “On conjugacy in a Chevalley group of large abelian subgroups of the unipotent subgroup”, J. Math. Sci., 169:5 (2010), 696–704 | DOI | MR | Zbl
[10] G. S. Suleimanova, “Conjugacy in a finite Chevalley group of type $E_8$ of large abelian unipotent subgoups”, J. Siberian Federal Univ., Math. Physics, 4:4 (2011), 536–540
[11] G. S. Suleimanova, “Classes of conjugated in a Chevalley group of type $F_4$ large abelian subgroups in the unipotent subgroup”, Vladikavkaz Math. J., 13:2 (2011), 45–55 (in Russian) | MR | Zbl
[12] G. S. Suleimanova, “Exceptional large unipotent abelian subgroups in groups of Lie type”, Vestnik SibSAU, 44:4 (2012), 82–86 (in Russian)
[13] R. Carter, Simple groups of Lie type, Wiley and Sons, New York, 1972 | MR | Zbl
[14] R. Steinberg, Lections on Chevalley groups, Yale University, 1967
[15] V. M. Levchuk, G. S. Suleymanova, T. Yu. Voitenko, “Some questions for the unipotent subgroup of the Chevalley group”, Abstr. of int. Conf. “Algebra and its applications”, SibFU, Krasnoyarsk, 2007, 168–169
[16] C. K. Gupta, V. M. Levchuk, Yu. Yu. Ushakov, “Hypercentral and monic automorphisms of classical algebras, rings and groups”, J. Siberian Federal Univ., Math. Physics, 1:4 (2008), 280–290
[17] V. M. Levchuk, “Automorphisms of unipotent subgroups of Chevalley groups. I”, Algebra and Logic, 29 (1990), 97–112 | DOI | MR | Zbl
[18] N. Bourbaki, Groupes et algebres de Lie, Chapt. IV–VI, Hermann, Paris, 1968 | MR