Zariski density and computing with S-integral groups

A. S. Detinko, D. L. Flannery, A. Hulpke

Research output: Contribution to journalArticlepeer-review


We generalize our methodology for computing with Zariski dense subgroups of SL(n,Z) and Sp(n,Z), to accommodate input dense subgroups H of SL(n,Q) and Sp(n,Q). A key task, backgrounded by the Strong Approximation theorem, is computing a minimal congruence overgroup of H. Once we have this overgroup, we may describe all congruence quotients of H. The case n=2 receives particular attention.

Original languageEnglish
Pages (from-to)93-105
Number of pages13
JournalJournal of Algebra
Early online date30 Mar 2023
Publication statusPublished - 15 Jun 2023


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