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

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

2009-07-16

arxiv.org/abs/0907.2762v2

Mathematics

Number Theory

18 pages; completely revised, now with new introduction and examples

Scientific paper

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.

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