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arXiv · 1304.2597

Maximal finite subgroups and minimal classes

Renaud Coulangeon·Gabriele Nebe
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Abstract

We apply Voronoi's algorithm to compute representatives of the conjugacy classes of maximal finite subgroups of the unit group of a maximal order in some simple $\QQ $-algebra. This may be used to show in small cases that non-conjugate orders have non-isomorphic unit groups.

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Renaud Coulangeon, Gabriele Nebe. 2013-04-09. Maximal finite subgroups and minimal classes. https://arxiv.org/abs/1304.2597

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