English

Maximal finite subgroups and minimal classes

Number Theory 2013-12-16 v2 Group Theory

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\QQ -algebra. This may be used to show in small cases that non-conjugate orders have non-isomorphic unit groups.

Keywords

Cite

@article{arxiv.1304.2597,
  title  = {Maximal finite subgroups and minimal classes},
  author = {Renaud Coulangeon and Gabriele Nebe},
  journal= {arXiv preprint arXiv:1304.2597},
  year   = {2013}
}
R2 v1 2026-06-21T23:56:35.146Z