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تسجيل مستخدم جديدAlgorithms for experimenting with Zariski dense subgroups
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We give a method to describe all congruence images of a finitely generated Zariski dense group $H leq mathrm{SL}(n, mathbb{Z})$. The method is applied to obtain efficient algorithms for solving this problem in odd prime degree $n$; if $n=2$ then we compute all congruence images only modulo primes. We propose a separate method that works for all $n$ as long as $H$ contains a known transvection. The algorithms have been implemented in GAP, enabling computer experiments with important classes of linear groups that have recently emerged.
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