One-dimensional actions of Higman's group
arXiv:1905.00938
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.
15 pages, 4 figures. Published in Discrete Analysis