Scale Groups
Group Theory
2024-10-01 v3
Abstract
Closed subgroups of the group of isometries of the regular tree that fix an end of the tree and are vertex-transitive are shown to correspond, on one hand, to self-replicating groups acting on rooted trees and, on the other hand, to elements of totally disconnected, locally compact groups having positive scale.
Cite
@article{arxiv.2008.05220,
title = {Scale Groups},
author = {George A. Willis},
journal= {arXiv preprint arXiv:2008.05220},
year = {2024}
}