Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 335-345
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N. S. Romanovskii. Subgroups between special linear groups over a ring and its subring. Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 335-345. http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a10/
@article{MZM_1969_6_3_a10,
author = {N. S. Romanovskii},
title = {Subgroups between special linear groups over a~ring and its subring},
journal = {Matemati\v{c}eskie zametki},
pages = {335--345},
year = {1969},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a10/}
}
TY - JOUR
AU - N. S. Romanovskii
TI - Subgroups between special linear groups over a ring and its subring
JO - Matematičeskie zametki
PY - 1969
SP - 335
EP - 345
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a10/
LA - ru
ID - MZM_1969_6_3_a10
ER -
%0 Journal Article
%A N. S. Romanovskii
%T Subgroups between special linear groups over a ring and its subring
%J Matematičeskie zametki
%D 1969
%P 335-345
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a10/
%G ru
%F MZM_1969_6_3_a10
All the subgroups between the special linear groups $SL(n,o)$ and $SL(n,O)$ are described in the following two cases: 1) $o$ is a real-closed field, and $O$ is its algebraic closure; 2) $o$ is a Euclidean ring, and $O$ is its quotient field.