A property of the lamplighter group
Group Theory
2021-01-05 v1
Abstract
We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.
Keywords
Cite
@article{arxiv.1909.01094,
title = {A property of the lamplighter group},
author = {Ilaria Castellano and Ged Corob Cook and Peter H. Kropholler},
journal= {arXiv preprint arXiv:1909.01094},
year = {2021}
}