Elementary divisor theory for the modular group over quadratic field extensions and quaternion algebras
Number Theory
2010-03-01 v2
Abstract
We develop an elementary divisor theory for the unimodular and the modular group over quadratic field extensions and quaternion algebras. In particular, we investigate which sets of elementary divisors can occur. Under an additional hypothesis we establish a correspondence of unimodular and modular double cosets.
Keywords
Cite
@article{arxiv.0907.2762,
title = {Elementary divisor theory for the modular group over quadratic field extensions and quaternion algebras},
author = {Martin Raum},
journal= {arXiv preprint arXiv:0907.2762},
year = {2010}
}
Comments
18 pages; completely revised, now with new introduction and examples