Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 14-17
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N. A. Dzhusoeva. On extraction of transvections in overgroups of a non-split maximal torus. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 14-17. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a1/
@article{VMJ_2013_15_1_a1,
author = {N. A. Dzhusoeva},
title = {On extraction of transvections in overgroups of a~non-split maximal torus},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {14--17},
year = {2013},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a1/}
}
TY - JOUR
AU - N. A. Dzhusoeva
TI - On extraction of transvections in overgroups of a non-split maximal torus
JO - Vladikavkazskij matematičeskij žurnal
PY - 2013
SP - 14
EP - 17
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a1/
LA - ru
ID - VMJ_2013_15_1_a1
ER -
%0 Journal Article
%A N. A. Dzhusoeva
%T On extraction of transvections in overgroups of a non-split maximal torus
%J Vladikavkazskij matematičeskij žurnal
%D 2013
%P 14-17
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a1/
%G ru
%F VMJ_2013_15_1_a1
Let $E(\sigma_{A})$ be a subgroup generated by all transvections of the net group $G(\sigma_A)$. Then $TE(\sigma_A)$ is also a group generated by the torus and the root subgroup items in the first column of the elementary group $E(\sigma_A)$.