Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 23-24
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E. B. Vinberg. Rationality of the field of invariants of a triangular group. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 23-24. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a5/
@article{VMUMM_1982_2_a5,
author = {E. B. Vinberg},
title = {Rationality of the field of invariants of a triangular group},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {23--24},
year = {1982},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a5/}
}
TY - JOUR
AU - E. B. Vinberg
TI - Rationality of the field of invariants of a triangular group
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 23
EP - 24
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a5/
LA - ru
ID - VMUMM_1982_2_a5
ER -
%0 Journal Article
%A E. B. Vinberg
%T Rationality of the field of invariants of a triangular group
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 23-24
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a5/
%G ru
%F VMUMM_1982_2_a5
Let $G$ be a connected soluble algebraic linear group over an algebraically closed field of characteristic zero. It is proved that the field of rational invariants of $G$ is a purely transcendental extension of the base field.