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    Zariski density and computing in arithmetic groups

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    Date
    2017-01-01
    Author
    Detinko, A.
    Flannery, D. L.
    Hulpke, A.
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    Cited 7 times in Scopus (view citations)
    
    Recommended Citation
    Detinko, A. Flannery, D. L.; Hulpke, A. (2017). Zariski density and computing in arithmetic groups. Mathematics of Computation 87 (310), 967-986
    Published Version
    https://doi.org/10.1090/mcom/3236
    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.
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    http://hdl.handle.net/10379/11158
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