5 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…
Double-coset zeta functions for groups acting on trees
Bianca Marchionna
We study the double-coset zeta functions for groups acting on trees, focusing mainly on weakly locally -transitive or (P)-closed actions. After giving a geometric character…
Some invariants of totally disconnected locally compact groups: cohomology and combinatorics
Ilaria Castellano, Bianca Marchionna, Thomas Weigel
The paper investigates two invariants for totally disconnected locally compact groups: the number of ends and the rational discrete cohomological dimension. For such a compactly ge…
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…