An introduction to arithmetic groups
Group Theory
2007-05-23 v1
Abstract
Arithmetic groups are groups of matrices with integral entries. We shall first discuss their origin in number theory (Gauss, Minkowski) and their role in the "reduction theory of quadratic forms". Then we shall describe these groups by generators and relations. The next topic will be: are all subgroups of finite index given by congruence conditions? Finally, we shall discuss rigidity properties of arithmetic groups.
Cite
@article{arxiv.math/0403390,
title = {An introduction to arithmetic groups},
author = {Christophe Soule},
journal= {arXiv preprint arXiv:math/0403390},
year = {2007}
}
Comments
Talks at the Conference ``Frontiers in Number Theory, Physics and Geometry'', Les Houches, March 9-21, 2003