44 citations · 65 across the 19 of their papers we have counts for
5 papers · 1 filter
Center-preserving irreducible representations of finite groups
Pierre-Emmanuel Caprace, Geoffrey Janssens, François Thilmany
Given finite groups , a representation of is called center-preserving on if the only elements of that become central under are those that were already…
Simultaneous ping-pong for finite subgroups of reductive groups
Geoffrey Janssens, Doryan Temmerman, François Thilmany
Let be a Zariski-dense subgroup of a reductive group defined over a field . Given a finite collection of finite subgroups () of a…
A unit theorem for products of groups with several ends and Applications
Geoffrey Janssens
In his survey, Kleinert defined formally and formulated the problem to obtain unit theorems for unit groups of orders in a semisimple algebra . If is a group algebra…
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…
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…