Computing $S$-unit groups of orders

Sebastian Schönnenbeck

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arXiv · 1710.01517

Computing $S$-unit groups of orders

Sebastian Schönnenbeck

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Abstract

Based on the general strategy described by Borel and Serre and the Voronoi algorithm for computing unit groups of orders we present an algorithm for finding presentations of $S$-unit groups of orders. The algorithm is then used for some investigations concerning the congruence subgroup property.

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Sebastian Schönnenbeck. 2017-10-04. Computing $S$-unit groups of orders. https://arxiv.org/abs/1710.01517

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