An arithmetic group associated with a Pisot unit and its symbolic-dynamical representatiom
| dc.creator | Sidorov, Nikita | |
| dc.date | 1999-12-23 | |
| dc.date.accessioned | 2026-07-07T05:32:27Z | |
| dc.date.available | 2026-07-07T05:32:27Z | |
| dc.description | To a given Pisot unit $β$ we associate a finite abelian group whose size appears to be equal to the discriminant of $β$. We call it the Pisot group and find its representation in the two-sided $β$-compactum in the case of $β$ satisfying the relation $Fin(β)=\Bbb Z[β]\cap[0,1)$. As a motivation for the definition, we show that the Pisot group is the kernel of some important arithmetic coding of the toral automorphism given by the companion matrix naturally associated with $β$. | |
| dc.description | 10 pages in AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/math/9912194 | |
| dc.identifier | http://arxiv.org/abs/math/9912194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79664 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 11R06; 28D05; 58F03 | |
| dc.title | An arithmetic group associated with a Pisot unit and its symbolic-dynamical representatiom | |
| dc.type | text |