Fixed point parameters for Mobius groups

• Autores: Rubén Antonio Hidalgo
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 19, Nº. 2, 2000, págs. 157-196
• Idioma: inglés
• DOI: 10.22199/S0716-09172000000200005
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• Resumen

  • Let Γn (respectively, Γ∞) be a free group of rank n (respectively, a free group of countable infinite rank). We consider the space of algebraic representations of the group Γn (respectively, Γ∞) Hom(Γn; PGL(2; C)) (respectively, Hom(Γ∞; PGL(2; C))). Inside each of these spaces we consider a couple of open and dense subsets. These subsets contain non-discrete groups of Möbius transformations. We proceed to find complex analytic parameters for these spaces given by fixed points.

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