12 citations · 51 across the 14 of their papers we have counts for
14 papers · 1 filter
Uncountably many local isomorphism types of compactly generated simple groups
Ilaria Castellano, Jorge Fariña-Asategui, Mikel Eguzki Garciarena +7
A major open question in the theory of locally compact groups is the following. Let be the class of non-discrete compactly generated totally disconnected locally comp…
Generalisable presentations and compactness properties of locally compact right-angled Artin groups
Ilaria Castellano, Bianca Marchionna, Brita Nucinkis +1
We propose the systematic study of presentations that can be generalised over a continuous open group monomorphism. Presentations with this property can turn well-known presentatio…
A pro- version of Sela's accessibility and Poincaré duality pro- groups
Ilaria Castellano, Pavel Zalesskii
We prove a pro- version of Sela's theorem stating that a finitely generated group is -acylindrically accessible. This result is then used to prove that pro-$p…
Unimodular totally disconnected locally compact groups of rational discrete cohomological dimension one
Ilaria Castellano, Bianca Marchionna, Thomas Weigel
It is shown that a Stallings--Swan theorem holds in a totally disconnected locally compact (= t.d.l.c.) context (cf. Thm. B). More precisely, a compactly generated -b…
Subgroups of pro- -groups
Ilaria Castellano, Pavel Zalesskii
We study 3-dimensional Poincaré duality pro- groups in the spirit of the work by Robert Bieri and Jonathan Hillmann, and show that if such a pro- group has a nontrivial f…
Intrinsic entropy for generalized quasimetric semilattices
Ilaria Castellano, Dikran Dikranjan, Domenico Freni +2
We introduce the notion of intrinsic semilattice entropy in the category of generalized quasimetric semilattices and contractive homomorphisms. By…
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…
Topological entropy for locally linearly compact vector spaces and field extensions
Ilaria Castellano
Let be a discrete field and a flow over the category of locally linearly compact -spaces. Here we give the formulas to compute the topological ent…
The corank of a flow over the category of linearly compact vector spaces
Ilaria Castellano
For a topological flow - i.e., is a linearly compact vector space and a continuous endomorphism of - we gain a deep understanding of the relationship between $(…
Topological entropy for locally linearly compact vector spaces
Ilaria Castellano, Anna Giordano Bruno
In analogy to the topological entropy for continuous endomorphisms of totally disconnected locally compact groups, we introduce a notion of topological entropy for continuous endom…
Rational discrete first degree cohomology for totally disconnected locally compact groups
Ilaria Castellano
It is well-known that the existence of more than two ends in the sense of J.R. Stallings for a finitely generated discrete group can be detected on the cohomology group $\mathr…
Rational discrete cohomology for totally disconnected locally compact groups
Ilaria Castellano, Thomas Weigel
Rational discrete cohomology and homology for a totally disconnected locally compact group is introduced and studied. The - identities associated to the…