Hyperbolic Unit Groups and Quaternion Algebras

Details Hyperbolic Unit Groups and Quaternion Algebras Hyperbolic Unit Groups and Quaternion Algebras

2007-09-13

arxiv.org/abs/0709.2161v3

Mathematics

Rings and Algebras

15 pages, this work is part of the PHd. Thesis of the third author. The paper was accepted in Proceedings Mathematical Science

Scientific paper

We Classify the rational quadratic extensions K and the finite groups G for
which the group ring R[G] of G over the ring R of integers of K has the
property that the group of units of augmentation 1 of R[G] is hyperbolic. We
also construct units in a non-split quaternion algebra over R.

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