Thompson subgroups and large abelian unipotent subgroups of Lie-type groups
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 63-73
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Let $U$ be a unipotent radical of a Borel subgroup of a Lie-type group over a finite field. For the classical types the Thompson subgroups and large abelian subgroups of the group $U$ were found to the middle 1980's. We complete a solution of well-known problem of their description for the exceptional Lie-types.
Keywords:
unipotent subgroup, large abelian subgroup, Thompson subgroup.
Mots-clés : Lie-type group
Mots-clés : Lie-type group
@article{JSFU_2013_6_1_a6,
author = {Vladimir M. Levchuk and Galina S. Suleimanova},
title = {Thompson subgroups and large abelian unipotent subgroups of {Lie-type} groups},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {63--73},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/}
}
TY - JOUR AU - Vladimir M. Levchuk AU - Galina S. Suleimanova TI - Thompson subgroups and large abelian unipotent subgroups of Lie-type groups JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2013 SP - 63 EP - 73 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/ LA - en ID - JSFU_2013_6_1_a6 ER -
%0 Journal Article %A Vladimir M. Levchuk %A Galina S. Suleimanova %T Thompson subgroups and large abelian unipotent subgroups of Lie-type groups %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2013 %P 63-73 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/ %G en %F JSFU_2013_6_1_a6
Vladimir M. Levchuk; Galina S. Suleimanova. Thompson subgroups and large abelian unipotent subgroups of Lie-type groups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 63-73. http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a6/