Publication
Discrete subgroups of locally definable groups
| dc.contributor.author | Berarducci, A. | |
| dc.contributor.author | Edmundo, Mário | |
| dc.contributor.author | Mamino, M. | |
| dc.date.accessioned | 2014-01-08T12:39:43Z | |
| dc.date.available | 2014-01-08T12:39:43Z | |
| dc.date.issued | 2013-08 | |
| dc.description.abstract | We work in the category of locally definable groups in an o-minimal expansion of a field. Eleftheriou and Peterzil conjectured that every definably generated abelian connected group G in this category is a cover of a definable group. We prove that this is the case under a natural convexity assumption inspired by the same authors, which in fact gives a necessary and sufficient condition. The proof is based on the study of the zero-dimensional compatible subgroups of G. Given a locally definable connected group G (not necessarily definably generated), we prove that the n-torsion subgroup of G is finite and that every zero-dimensional compatible subgroup of G has finite rank. Under a convexity hypothesis, we show that every zero-dimensional compatible subgroup of G is finitely generated | por |
| dc.identifier.citation | Berarducci, A.; Edmundo, Mário Jorge; Mamino, M. - Discrete subgroups of locally definable groups. "Selecta Mathematica (New Series)" [Em linha]. ISSN 1420-9020 (Print) 1022-1824 (Online). Vol. 19, Nº 3 (2013), p. 1-17 | por |
| dc.identifier.issn | 1022-1824 | |
| dc.identifier.issn | 1420-9020 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/2762 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer-Verlag | por |
| dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs00029-013-0123-9 | por |
| dc.subject | Covers | por |
| dc.subject | Discrete subgroups | por |
| dc.subject | Locally definable groups | por |
| dc.title | Discrete subgroups of locally definable groups | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 17 | por |
| oaire.citation.startPage | 1 | por |
| oaire.citation.title | Selecta Mathematica, New Series | por |
| person.familyName | Edmundo | |
| person.givenName | Mário Jorge | |
| person.identifier | P-3392-2015 | |
| person.identifier.ciencia-id | 0310-CC24-B3B5 | |
| person.identifier.orcid | 0000-0002-3350-9271 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | 67cdf4c4-936f-4d36-b7e3-bfc20693582b | |
| relation.isAuthorOfPublication.latestForDiscovery | 67cdf4c4-936f-4d36-b7e3-bfc20693582b |
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