Geodesic
Algorithmic questions for linear algebraic groups.~I
Sbornik. Mathematics, Tome 41 (1982) no. 2, pp. 149-179

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Let $G$ be a linear algebraic group defined over the field of rational numbers and subject to certain conditions, let $G(\mathbf R)$ be its group of real points, and let $G(\mathbf Z,m)$ be a congruence-subgroup of its group of integer points. In this paper it is proved that, using a recursive procedure, one can construct a fundamental set of $G(\mathbf Z,m)$ in $G(\mathbf R)$. This result will be applied in the second part of the article. Bibliography: 18 titles. 
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     author = {R. A. Sarkisyan},
     title = {Algorithmic questions for linear algebraic {groups.~I}},
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     number = {2},
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R. A. Sarkisyan. Algorithmic questions for linear algebraic groups.~I. Sbornik. Mathematics, Tome 41 (1982) no. 2, pp. 149-179. http://geodesic.mathdoc.fr/item/SM_1982_41_2_a0/