JournalslemVol. 60, No. 3/4pp. 231–246

Maximal finite subgroups and minimal classes

  • Renaud Coulangeon

    Université de Bordeaux I, Talence, France

  • Gabriele Nebe

    RWTH Aachen, Germany
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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 -algebra. This may be used to show in small cases that non-conjugate orders have non-isomorphic unit groups.

Cite this article

Renaud Coulangeon, Gabriele Nebe, Maximal finite subgroups and minimal classes. Enseign. Math. 60 (2014), no. 3/4, pp. 231–246

DOI 10.4171/LEM/60-3/4-1