A. Bächle

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20182020

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math.GR2019

Orders generated by character values

Andreas Bächle, Benjamin Sambale

Let $K := Q (G)$ be the number field generated by the complex character values of a finite group $G$ . Let $Z_{K}$ be the ring of integers of $K$ . In this paper we inve…

math.GR2018

A dichotomy for integral group rings via higher modular groups as amalgamated products

Andreas Bächle, Geoffrey Janssens, Eric Jespers +2

We show that $U (Z G)$ , the unit group of the integral group ring $Z G$ , either satisfies Kazhdan's property (T) or is, up to commensurability, a non-triv…