Strange actions of groups on spheres
type: Item
instance of: scholarly article
title: Strange actions of groups on spheres
zbMATH Open document ID: 0588.57024
published in: Journal of Differential Geometry
publication date: 1987-01-01T00:00:00Z
review text: For r sufficiently large we construct actions of generalized dihedral groups (free of rank r)\(\rtimes {\mathbb{Z}}_ 2\) on \(S^ 3\) which are discrete, smooth, uniformly quasiconformal, but which are not topologically conjugate to conformal actions. This is at odds with the situation for actions on \(S^ 2\). This and other wild analogs of Schottky actions are considered.
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 57S20
zbMATH DE Number: 3944867
zbMATH Keywords: actions of generalized dihedral groups on \(S^ 3\)
zbMATH Keywords: uniformly quasiconformal
zbMATH Keywords: not topologically conjugate to conformal actions
zbMATH Keywords: wild analogs of Schottky actions
author: Michael Freedman
author: Richard K. Skora
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214440725
OpenAlex ID: W4238466116
Wikidata QID: Q56443203
DOI: 10.4310/JDG/1214440725
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description: scientific article; zbMATH DE number 3944867