A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI’S THEOREM

A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI’S THEOREM

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 n...

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Bibliographic Details
Main Author: HIDALGO,RUBÉN
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2003
Subjects:
Kleinian groups
Function groups
Torelli’s theorem
Hyperbolic 3-manifolds
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200002
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