A commutator rigidity for function groups and Torelli’s theorem

dc.creator	Hidalgo, Rubén A.	es
dc.date	2017-04-24
dc.date.accessioned	2025-10-06T15:05:08Z
dc.date.available	2025-10-06T15:05:08Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1486
dc.identifier	10.4067/S0716-09172003000200002
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/255582
dc.description	We show that a non-elementary finitely generated torsion-free function group is uniquely determined by its commutator subgroup. In this way, we obtain a generalization of the results obtained in [2], [3] and [8]. This is well related to Torelli’s theorem for closed Riemann surfaces. For a general non-elementary torsion-free Kleinian group the above rigidity property still unknown.	es
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1486/1265
dc.rights	Copyright (c) 2003 Proyecciones. Journal of Mathematics	en
dc.source	Proyecciones (Antofagasta); Vol. 22 No. 2 (2003); 117-125	en
dc.source	Proyecciones. Revista de Matemática; Vol. 22 Núm. 2 (2003); 117-125	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2003
dc.title	A commutator rigidity for function groups and Torelli’s theorem	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion