11 citations · 19 across the 12 of their papers we have counts for
13 papers
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…
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
Shivam Arora, Ilaria Castellano, Ged Corob Cook +1
This article is part of the program of studying large-scale geometric properties of totally disconnected locally compact groups, TDLC-groups, by analogy with the theory for discret…
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…
Homotopical Algebra in Categories with Enough Projectives
Ged Corob Cook
For a complete and cocomplete category with a well-behaved class of `projectives' , we construct a model structure on the category o…
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 of torsion-free rank admits a dimensional model for the classifying space with isotropy in the family of subgrou…
Bieri-Eckmann Criteria for Profinite Groups
Ged Corob Cook
In this paper we derive necessary and sufficient homological and cohomological conditions for profinite groups and modules to be of type over a profinite ring…
On Profinite Groups of Type
Ged Corob Cook
Suppose is a profinite ring. We construct a large class of profinite groups , including all soluble profinite g…
A Note on Homology over Functor Categories
Ged Corob Cook
It is known that, for an abelian category and small, the functor category is again abelian; thus we can do homology in such categories, and examine how it relates to…
Continuous cohomology and homology of profinite groups
Marco Boggi, Ged Corob Cook
We develop cohomological and homological theories for a profinite group with coefficients in the Pontryagin dual categories of pro-discrete and ind-profinite -modules, respe…