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arXiv · 1905.04287

Integrality and arithmeticity of solvable linear groups

W. A. de Graaf·A. S. Detinko·D. L. Flannery
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Abstract

We develop a practical algorithm to decide whether a finitely generated subgroup of a solvable algebraic group $G$ is arithmetic. This incorporates a procedure to compute a generating set of an arithmetic subgroup of $G$. We also provide a simple new algorithm for integrality testing of finitely generated solvable-by-finite linear groups over the rational field. The algorithms have been implemented in {\sc Magma}.

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W. A. de Graaf, A. S. Detinko, D. L. Flannery. 2019-05-10. Integrality and arithmeticity of solvable linear groups. https://arxiv.org/abs/1905.04287

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