A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI S THEOREM

dc.creator	HIDALGO,RUBÉN
dc.date	2003-08-01
dc.date.accessioned	2020-02-17T15:30:38Z
dc.date.available	2020-02-17T15:30:38Z
dc.identifier	https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200002
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/129188
dc.description	We show that a non-elementary finitely generated torsion-free func-tion 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 sur-faces.For a general non-elementary torsion-free Kleinian group the above rigidity property still unknown
dc.format	text/html
dc.language	en
dc.publisher	Universidad Católica del Norte, Departamento de Matemáticas
dc.relation	10.4067/S0716-09172003000200002
dc.rights	info:eu-repo/semantics/openAccess
dc.source	Proyecciones (Antofagasta) v.22 n.2 2003
dc.subject	Kleinian groups
dc.subject	Function groups
dc.subject	Torelli s theorem
dc.subject	Hyperbolic 3-manifolds
dc.title	A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI S THEOREM