Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 72-76
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A. R. Asasyan. Solvable $R$-groups of finite rank. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 72-76. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a16/
@article{VMUMM_1982_2_a16,
author = {A. R. Asasyan},
title = {Solvable $R$-groups of finite rank},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {72--76},
year = {1982},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a16/}
}
TY - JOUR
AU - A. R. Asasyan
TI - Solvable $R$-groups of finite rank
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 72
EP - 76
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a16/
LA - ru
ID - VMUMM_1982_2_a16
ER -
%0 Journal Article
%A A. R. Asasyan
%T Solvable $R$-groups of finite rank
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 72-76
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a16/
%G ru
%F VMUMM_1982_2_a16
We prove that the commutator subgroup of a finite rank soluble $R$-group is nilpotent. We find a criterion for a soluble group of finite rank to be an $R$-group in terms of modules over integral group rings.