3 papers
math.GR2026
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…
math.GR2025
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…
math.GR2018
Diameter of homogeneous spaces: an effective account
Amir Mohammadi, Alireza Salehi Golsefidy, François Thilmany
In this paper we prove explicit estimates for the size of small lifts of points in homogeneous spaces. Our estimates are polynomially effective in the volume of the space and the i…