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- W2955405984 abstract "We develop practical techniques to compute with arithmetic groups $Hleq mathrm{SL}(n,mathbb{Q})$ for $n>2$. Our approach relies on constructing a principal congruence subgroup in $H$. Problems solved include testing membership in $H$, analyzing the subnormal structure of $H$, and the orbit-stabilizer problem for $H$. Effective computation with subgroups of $mathrm{GL}(n,mathbb{Z}_m)$ is vital to this work. All algorithms have been implemented in GAP." @default.
- W2955405984 created "2019-07-12" @default.
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- W2955405984 date "2019-06-25" @default.
- W2955405984 modified "2023-10-02" @default.
- W2955405984 title "Algorithms for arithmetic groups with the congruence subgroup property" @default.
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- W2955405984 doi "https://doi.org/10.48550/arxiv.1906.10423" @default.
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