5 citations · 14 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
Global and local properties of finite groups with only finitely many central units in their integral group ring
Andreas Bächle, Mauricio Caicedo, Eric Jespers +1
The aim of this article is to explore global and local properties of finite groups whose integral group rings have only trivial central units, so-called cut groups. For such a grou…
On the first Zassenhaus conjecture and direct products
Andreas Bächle, Wolfgang Kimmerle, Mariano Serrano
In this paper we study the behavior of the first Zassenhaus conjecture (ZC1) under direct products as well as the General Bovdi Problem (Gen-BP) which turns out to be a slightly we…
On the Prime Graph Question for Almost Simple Groups with an Alternating Socle
Andreas Bächle, Mauricio Caicedo
Let be an almost simple group with socle , the alternating group of degree . We prove that there is a unit of order in the integral group ring of if and only i…