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arXiv · 0709.2161

Hyperbolic Unit Groups and Quaternion Algebras

S. O. Juriaans·I. B. S. Passi·A. C. Souza Filho
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Abstract

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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S. O. Juriaans, I. B. S. Passi, A. C. Souza Filho. 2009-01-14. Hyperbolic Unit Groups and Quaternion Algebras. https://arxiv.org/abs/0709.2161

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