On chief factors of parabolic maximal subgroups of the groups~$^2E_6(q^2)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 230-237
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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.
@article{TIMM_2014_20_2_a18,
author = {V. V. Korableva},
title = {On chief factors of parabolic maximal subgroups of the groups~$^2E_6(q^2)$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {230--237},
publisher = {mathdoc},
volume = {20},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a18/}
}
TY - JOUR AU - V. V. Korableva TI - On chief factors of parabolic maximal subgroups of the groups~$^2E_6(q^2)$ JO - Trudy Instituta matematiki i mehaniki PY - 2014 SP - 230 EP - 237 VL - 20 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a18/ LA - ru ID - TIMM_2014_20_2_a18 ER -
V. V. Korableva. On chief factors of parabolic maximal subgroups of the groups~$^2E_6(q^2)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 230-237. http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a18/