Geometric presentations for Thompson's groups
| dc.creator | Dehornoy, Patrick | |
| dc.date | 2004-07-07 | |
| dc.date | 2005-02-04 | |
| dc.date.accessioned | 2026-07-07T06:31:43Z | |
| dc.date.available | 2026-07-07T06:31:43Z | |
| dc.description | We prove that Thompson's groups $F$ and $V$ are the geometry groups of associativity, and of associativity together with commutativity, respectively. We deduce new presentations of $F$ and $V$. These presentations lead to considering a certain subgroup of $V$ and an extension of this subgroup. We prove that the latter are the geometry groups of associativity together with the law $x(yz) = y(xz)$, and of associativity together with a twisted version of this law involving self-distributivity, respectively. | |
| dc.identifier | https://arxiv.org/abs/math/0407096 | |
| dc.identifier | http://arxiv.org/abs/math/0407096 | |
| dc.identifier | Journal of Pure and Applied Algebra 203 (2005) 1-44 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98690 | |
| dc.subject | Group Theory | |
| dc.subject | MSC: 20F05, 20F36, 20B07 | |
| dc.title | Geometric presentations for Thompson's groups | |
| dc.type | text |