A new lattice invariant for lattices in totally disconnected locally compact groups
Résumé
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.
Domaines
Théorie des groupes [math.GR]
Origine : Fichiers produits par l'(les) auteur(s)
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