3 papers
math.RA2020
From examples to methods: Two cases from the study of units in integral group rings
Andreas Bächle, Leo Margolis
In this article, we review the proofs of the first Zassenhaus Conjecture on conjugacy of torsion units in integral group rings for the alternating groups of degree 5 and 6, by Luth…
math.GR2019
Orders generated by character values
Andreas Bächle, Benjamin Sambale
Let be the number field generated by the complex character values of a finite group . Let be the ring of integers of . 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 , the unit group of the integral group ring , either satisfies Kazhdan's property (T) or is, up to commensurability, a non-triv…