Counting cosets of unimodular groups over Dedekind domains
Number Theory
2011-01-20 v1
Abstract
In this paper, a formula for the calculation of the number of right cosets contained in a double coset with respect to a unimodular group over a Dedekind domain is developed, and applications of this formula in the theory of congruence subgroups -- an index formula -- and the theory of abstract Hecke algebras -- a reduction theorem and an algorithm for the explicit calculation of products -- are given.
Cite
@article{arxiv.1101.3683,
title = {Counting cosets of unimodular groups over Dedekind domains},
author = {Marc Ensenbach},
journal= {arXiv preprint arXiv:1101.3683},
year = {2011}
}
Comments
14 pages