3 papers
math.GR2026
On cohomological dimensions of totally disconnected locally compact groups
Ilaria Castellano, Nadia Mazza, Brita Nucinkis
In this paper, we introduce Mackey functors for a t.d.l.c. group and define the cohomological dimension of this group over the Mackey category. We then compare this dimension to th…
math.GR2025
Geometric invariants of TDLC completions
Ilaria Castellano, José Pedro Quintanilha
Recently, Bonn and Sauer showed that, from the point of view of compactness properties, the Schlichting completion of a Hecke pair behaves precisely as if it were the quo…
math.GR2025
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…