Locally compact wreath products
Group Theory
2019-07-10 v2
Abstract
Wreath products of non-discrete locally compact groups are usually not locally compact groups, nor even topological groups. We introduce a natural extension of the wreath product construction to the setting of locally compact groups. As an application, we disprove a conjecture of Trofimov, constructing compactly generated locally compact groups of intermediate growth without nontrivial compact normal subgroups.
Cite
@article{arxiv.1703.08880,
title = {Locally compact wreath products},
author = {Yves Cornulier},
journal= {arXiv preprint arXiv:1703.08880},
year = {2019}
}
Comments
28 pages