dc.contributor.author Detinko, Alla dc.contributor.author Flannery, Dane dc.contributor.author Hulpke, Alexander dc.date.accessioned 2017-11-27T11:28:09Z dc.date.available 2017-11-27T11:28:09Z dc.date.issued 2017-10-28 dc.identifier.uri http://publications.mfo.de/handle/mfo/1326 dc.description Research in Pairs 2017 en_US dc.description.abstract We give a method to describe all congruence images of a finitely generated Zariski dense group $H\leq SL(n, \mathbb{R})$. 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 ${\sf GAP}$, enabling computer experiments with important classes of linear groups that have recently emerged. en_US dc.language.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2017,31 dc.rights Attribution-ShareAlike 4.0 International * dc.rights.uri http://creativecommons.org/licenses/by-sa/4.0/ * dc.title Experimenting with Zariski Dense Subgroups en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2017-31 local.scientificprogram Research in Pairs 2017 en_US local.series.id OWP-2017-31 local.subject.msc 20 local.subject.msc 68
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