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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…
math.GR2018
Abelianization and fixed point properties of units in integral group rings
Andreas Bächle, Geoffrey Janssens, Eric Jespers +2
Let be a finite group and the unit group of the integral group ring . We prove a unit theorem, namely a characterization of when $\ma…
math.GR2018
Left semi-braces and solutions to the Yang-Baxter equation
Eric Jespers, Arne Van Antwerpen
Let be a set-theoretic solution of the Yang-Baxter equation on a finite set . It was proven by Gateva-Ivanova and Van den Bergh that if is non-deg…