Geodesic
On chief factors of parabolic maximal subgroups of the group ${}^3D_4(q^3)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 187-191 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a finite simple group of twisted Lie type ${}^3D_4$, the description of chief factors of a parabolic maximal subgroup that lie in its unipotent radical is refined. We prove a theorem, in which, for every parabolic maximal subgroup of the group ${}^3D_4(q^3)$, fragments of chief series that lie in the unipotent radical of this parabolic subgroup are given. Generating elements and orders of the corresponding chief factors are presented in a table.
Keywords: finite group of lie type, parabolic subgroup, chief factor, unipotent subgroup. 
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V. V. Korableva. On chief factors of parabolic maximal subgroups of the group ${}^3D_4(q^3)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 187-191. http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a19/

[1] Korableva V.V., “O glavnykh faktorakh parabolicheskikh maksimalnykh podgrupp konechnykh prostykh grupp normalnogo lieva tipa”, Sib. mat. zhurn., 55:4 (2014), 764–782 | MR | Zbl

[2] Korableva V.V., “O glavnykh faktorakh parabolicheskikh maksimalnykh podgrupp gruppy ${}^2E_6(q^2)$”, Tr. In-ta matematiki i mekhaniki UrO RAN, 20:2 (2014), 230–237 | MR

[3] Korableva V.V., “O glavnykh faktorakh parabolicheskikh maksimalnykh podgrupp skruchennykh klassicheskikh grupp”, Maltsevskie chteniya: tez. dokl. Mezhdunar. konf., Novosibirsk, 2014, 64

[4] Carter R.W., Simple groups of Lie type, John Wiley and Sons, London, 1972, 332 pp. | MR | Zbl

[5] Carter R.W., Finite groups of Lie type, conjugacy classes and complex characters, John Wiley and Sons, L., 1993, 544 pp. | MR

[6] Azad H., Barry M., Seitz G., “On the structure of parabolic subgroup”, Comm. Algebra, 18:2 (1990), 551–562 | DOI | MR | Zbl

[7] Burbaki H., Gruppy i algebry Li, Mir, M., 1972, 334 pp.