On the classification of Kleinian groups II-signatures
type: Item
instance of: scholarly article
title: On the classification of Kleinian groups II-signatures
zbMATH Open document ID: 0358.30011
DOI: 10.1007/BF02392312
author: Bernard Maskit
published in: Acta Mathematica
publication date: 1977-01-01T00:00:00Z
review text: The author gives a classification up to quasiconformal deformation of the class \(\mathcal{C}_{0}\) of the geometrically finite function groups. The key lies in a technically difficult definition of signature for function groups. Examples are given to show that the complications arise when the groups have torsion. Within \(\mathcal{C}_{0}\), signature-preserving homeomorphisms have all the desirable extensions and uniqueness properties. In the case where \(G\) is torsion-free the basic extension and isomorphism theorems were given by Marden.
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 3558156
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3558156