A new lattice invariant for lattices in totally disconnected locally compact groups

Autor: Duchesne, Bruno, Tucker-Drob, Robin, Wesolek, Phillip
Rok vydání: 2018
Předmět:
Zdroj: Israel Journal of Mathematics 240, 539-565 (2020)
Druh dokumentu: Working Paper
DOI: 10.1007/s11856-020-2072-2
Popis: We introduce and explore a natural rank for totally disconnected locally compact groups called the bounded conjugacy rank. This rank is shown to be a lattice invariant for lattices in sigma compact totally disconnected locally compact groups; that is to say, for a given sigma compact totally disconnected locally compact group, some lattice has bounded conjugacy rank n if and only if every lattice has bounded conjugacy rank n. Several examples are then presented.
Databáze: arXiv