Discrete subgroups of locally definable groups

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBerarducci, A.-
Autor(es): dc.creatorEdmundo, Mário Jorge-
Autor(es): dc.creatorMamino, M.-
Data de aceite: dc.date.accessioned2019-08-21T16:59:53Z-
Data de disponibilização: dc.date.available2019-08-21T16:59:53Z-
Data de envio: dc.date.issued2014-01-08-
Data de envio: dc.date.issued2014-01-08-
Data de envio: dc.date.issued2013-08-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/2762-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/2762-
Descrição: dc.descriptionWe 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-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-Verlag-
Relação: dc.relationhttp://link.springer.com/article/10.1007%2Fs00029-013-0123-9-
Direitos: dc.rightsopenAccess-
Palavras-chave: dc.subjectCovers-
Palavras-chave: dc.subjectDiscrete subgroups-
Palavras-chave: dc.subjectLocally definable groups-
Título: dc.titleDiscrete subgroups of locally definable groups-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

Não existem arquivos associados a este item.