3 citations · 5 across the 6 of their papers we have counts for
11 papers
Weil zeta functions of group representations over finite fields
Ged Corob Cook, Steffen Kionke, Matteo Vannacci
In this article we define and study a zeta function - similar to the Hasse-Weil zeta function - which enumerates absolutely irreducible representations over finite fields of…
On upper bounds for the first -Betti number
Carsten Feldkamp, Steffen Kionke
This article presents a method for proving upper bounds for the first -Betti number of groups using only the geometry of the Cayley graph. As an application we prove that B…
Counting irreducible modules for profinite groups
Ged Corob Cook, Steffen Kionke, Matteo Vannacci
This article is concerned with the representation growth of profinite groups over finite fields. We investigate the structure of groups with uniformly bounded exponential represent…
Amenability and profinite completions of finitely generated groups
Steffen Kionke, Eduard Schesler
This article explores the interplay between the finite quotients of finitely generated residually finite groups and the concept of amenability. We construct a finitely generated, r…
Adelic superrigidity and profinitely solitary lattices
Holger Kammeyer, Steffen Kionke
By arithmeticity and superrigidity, a commensurability class of lattices in a higher rank Lie group is defined by a unique algebraic group over a unique number subfield of $\mathbb…
On the profinite rigidity of lattices in higher rank Lie groups
Holger Kammeyer, Steffen Kionke
We investigate which higher rank simple Lie groups admit profinitely but not abstractly commensurable lattices. We show that no such examples exist for the complex forms of type $E…