Title
Zariski density and computing in arithmetic groups.
Abstract
For n > 2, let Gamma(n) denote either SL( n, Z) or Sp( n, Z). We give a practical algorithm to compute the level of the maximal principal congruence subgroup in an arithmetic group H <= Gamma(n). This forms the main component of our methods for computing with such arithmetic groups H. More generally, we provide algorithms for computing with Zariski dense groups in Gamma(n). We use our GAP implementation of the algorithms to solve problems that have emerged recently for important classes of linear groups.
Year
DOI
Venue
2018
10.1090/mcom/3236
MATHEMATICS OF COMPUTATION
Field
DocType
Volume
Algebra,Mathematical analysis,Mathematics
Journal
87
Issue
ISSN
Citations 
310
0025-5718
3
PageRank 
References 
Authors
0.54
3
3
Name
Order
Citations
PageRank
A. S. Detinko1113.36
D. L. Flannery2112.69
Alexander Hulpke3649.89