Abstract:
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.