A commutator rigidity for function groups and Torelli’s theorem

• Autores: Rubén Antonio Hidalgo
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 22, Nº. 2, 2003, págs. 117-125
• Idioma: inglés
• DOI: 10.4067/S0716-09172003000200002
• Enlaces
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• Resumen

  • 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.

• Referencias bibliográficas
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