Author | dc.contributor.author | Rivas, Cristóbal | |
Admission date | dc.date.accessioned | 2011-09-29T13:49:42Z | |
Available date | dc.date.available | 2011-09-29T13:49:42Z | |
Publication date | dc.date.issued | 2010-03-29 | |
Cita de ítem | dc.identifier.citation | JOURNAL OF GROUP THEORY, Volume: 13, Issue: 3, Pages: 337-353, 2010 | es_CL |
Identifier | dc.identifier.issn | 1433-5883 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/119309 | |
General note | dc.description | Artículo de publicación ISI | es_CL |
Abstract | dc.description.abstract | We classify C-orderable groups admitting only finitely many C-orderings. We show
that if a C-orderable group has infinitely many C-orderings, then it actually has uncountably
many C-orderings, and none of these is isolated in the space of C-orderings.
As a relevant example, we carefully study the case of Baumslag-Solitar’s group B(1, 2).
We show that B(1, 2) has four C-orderings, each of which is bi-invariant, but its space
of left-orderings is homeomorphic to the Cantor set. | es_CL |
Patrocinador | dc.description.sponsorship | This work was partially funded by the PBCT-Conicyt Research Network on Low Dimensional Dynamics. | es_CL |
Lenguage | dc.language.iso | en | es_CL |
Publisher | dc.publisher | WALTER DE GRUYTER & CO | es_CL |
Keywords | dc.subject | AMENABLE-GROUPS | es_CL |
Título | dc.title | On spaces of Conradian group orderings | es_CL |
Document type | dc.type | Artículo de revista | |