One-dimensional actions of Higman's group
Group Theory
2019-12-23 v2 Dynamical Systems
Abstract
We build a faithful action of Higman's group on the line by homeomorphisms, answering a question of Yves de Cornulier. As a by-product we obtain many quasimorphisms from the Higman group into the reals. We also show that every action by -diffeomorphisms of Higman's group on the line or the circle is trivial.
Cite
@article{arxiv.1905.00938,
title = {One-dimensional actions of Higman's group},
author = {Cristóbal Rivas and Michele Triestino},
journal= {arXiv preprint arXiv:1905.00938},
year = {2019}
}
Comments
15 pages, 4 figures. Published in Discrete Analysis