Ged Corob Cook

activity

20162022

collaborators

6 papers

math.GR2022

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 $ζ_{G}$ - similar to the Hasse-Weil zeta function - which enumerates absolutely irreducible representations over finite fields of…

math.GR2021

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…

math.GR2019

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…

math.GR2019

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 $R$ , in particular for $R = Z$ and $R= \mat…

math.GR2018

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 $X$ is a pointed topological space, $π_{1} (X)$ has a natural topology co…

math.GR2016

On the dimension of classifying spaces for families of abelian subgroups

Ged Corob Cook, Victor Moreno, Brita Nucinkis +1

We show that a finitely generated abelian group $G$ of torsion-free rank $n \geq 1$ admits a $n + r$ dimensional model for the classifying space with isotropy in the family of subgrou…