I. Castellano

activity

20182020

collaborators

6 papers

math.GR2020

Subgroups of pro- $p$ $PD^{3}$ -groups

Ilaria Castellano, Pavel Zalesskii

We study 3-dimensional Poincaré duality pro- $p$ groups in the spirit of the work by Robert Bieri and Jonathan Hillmann, and show that if such a pro- $p$ group $G$ has a nontrivial f…

math.GR2020

Intrinsic entropy for generalized quasimetric semilattices

Ilaria Castellano, Dikran Dikranjan, Domenico Freni +2

We introduce the notion of intrinsic semilattice entropy $h$ in the category $L_{q m}$ of generalized quasimetric semilattices and contractive homomorphisms. By…

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

Topological entropy for locally linearly compact vector spaces and field extensions

Ilaria Castellano

Let $K$ be a discrete field and $(V, ϕ)$ a flow over the category of locally linearly compact $K$ -spaces. Here we give the formulas to compute the topological ent…