The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 1, pp. 155-168
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We study the normal structure of the unipotent radical $U$ of a Borel subgroup in a Lie type group over a field $K$. Thus, all maximal Abelian normal subgroups in $U$ are described. This gives a new solution of C. Parker and P. Rowley's problem about extremal subgroups in $U$ and the description in finite groups $U$ of the large normal (and, as proved, also normal large) Abelian subgroups.
@article{FPM_2012_17_1_a8,
author = {V. M. Levchuk and G. S. Suleimanova},
title = {The normal structure of the unipotent subgroup in {Lie} type groups and its extremal subgroups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {155--168},
publisher = {mathdoc},
volume = {17},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a8/}
}
TY - JOUR AU - V. M. Levchuk AU - G. S. Suleimanova TI - The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2012 SP - 155 EP - 168 VL - 17 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a8/ LA - ru ID - FPM_2012_17_1_a8 ER -
%0 Journal Article %A V. M. Levchuk %A G. S. Suleimanova %T The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups %J Fundamentalʹnaâ i prikladnaâ matematika %D 2012 %P 155-168 %V 17 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a8/ %G ru %F FPM_2012_17_1_a8
V. M. Levchuk; G. S. Suleimanova. The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 1, pp. 155-168. http://geodesic.mathdoc.fr/item/FPM_2012_17_1_a8/