One-dimensional Actions of Higman's Group
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | One-dimensional Actions of Higman's Group |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Rivas C, Triestino M |
| Journal | DISCRETE ANALYSIS |
| Pagination | 20 |
| Date Published | DEC 19 |
| Type of Article | Article |
| Mots-clés | Higman's group, Kaplansky's zero divisors conjecture, one-dimensional dynamics, orderable groups |
| Résumé | 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 Higman's group into the reals. We also show that every action by C-1-diffeomorphisms of Higman's group on the line or the circle is trivial. |
| DOI | 10.19086/da.11151 |