Elementary divisor theory for the modular group over quadratic field extensions and quaternion algebras

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.

arXiv comment18 pages; completely revised, now with new introduction and examples

References in corpus (1)

• Determinantal divisors of products of matrices over Dedekind domains

Cited by in corpus (1)

• Hecke algebras related to the unimodular and modular groups over hermitian fields and definite quaternion algebras