7 papers · 1 filter
Solid Duality for Profinite Groups
Ged Corob Cook, Max Gheorghiu, Sofía Marlasca Aparicio +1
We classify profinite groups that have a Poincaré-like duality between their homology and cohomology. Our proofs work over every profinite coefficient ring, and for profinite as we…
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…
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…
A property of the lamplighter group
Ilaria Castellano, Ged Corob Cook, Peter H. Kropholler
We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected loca…
Finiteness properties of totally disconnected locally compact groups
Ilaria Castellano, Ged Corob Cook
In this paper we investigate finiteness properties of totally disconnected locally compact groups for general commutative rings , in particular for and $R= \mat…
Eilenberg--Mac Lane Spaces for Topological Groups
Ged Corob Cook
The goal of this paper is to establish a topological version of the notion of an Eilenberg-Mac Lane space. If is a pointed topological space, has a natural topology co…