Hyperbolic Unit Groups and Quaternion Algebras
Juriaans, S. O. · Passi, I. B. S. · Filho, A. C. Souza
Original · EN
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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