Abstract:
For a finite simple group of twisted Lie type $^2E_6$, the description of chief factors of parabolic maximal subgroups contained in its unipotent radical is refined. The results are presented as a theorem, in which, for every parabolic maximal subgroup of the group $^2E_6(q^2)$, fragments of chief series contained 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.