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

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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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     author = {V. V. Korableva},
     title = {On chief factors of parabolic maximal subgroups of the group ${}^3D_4(q^3)$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {187--191},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a19/}
}
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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/