A family of p-adic isometries, fixed points, and the number three
| dc.creator | Brussel, Eric S. | |
| dc.date | 2006-03-16 | |
| dc.date.accessioned | 2026-07-07T07:06:57Z | |
| dc.date.available | 2026-07-07T07:06:57Z | |
| dc.description | We study a continuous family of norm-preserving isometries of the p-adic unit disk, given as interpolations of a common arithmetic function, the q-analog of the identity, for principal p-adic units q. We show that the fixed point set is trivial except when p=3 and q is a generator of the principal 3-adic units; in that case the isometry given by each q has a unique nontrivial 3-adic fixed point, varying homeomorphically with q. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603387 | |
| dc.identifier | http://arxiv.org/abs/math/0603387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110217 | |
| dc.subject | Number Theory | |
| dc.subject | 11K41 (Primary) 11K55, 11N25, 11S25 (Secondary) | |
| dc.title | A family of p-adic isometries, fixed points, and the number three | |
| dc.type | text |