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arxiv: 1304.2597 · v2 · pith:T3S545VVnew · submitted 2013-04-09 · 🧮 math.NT · math.GR

Maximal finite subgroups and minimal classes

classification 🧮 math.NT math.GR
keywords maximalclassesfinitesubgroupsunitalgebraalgorithmapply
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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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