Algorithms in GAP for arithmetic groups H in SL(n,Q) (n>2) with the congruence subgroup property, using principal congruence subgroups to solve membership, subnormal series, and orbit-stabilizer problems.
Sarnak, Notes on thin matrix groups , in: Thin groups and superstrong approximation, Math
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Algorithms for arithmetic groups with the congruence subgroup property
Algorithms in GAP for arithmetic groups H in SL(n,Q) (n>2) with the congruence subgroup property, using principal congruence subgroups to solve membership, subnormal series, and orbit-stabilizer problems.