Fractional Fibonacci groups and manifolds
type: Item
instance of: scholarly article
title: Fractional Fibonacci groups and manifolds
zbMATH Open document ID: 0917.20032
DOI: 10.1007/BF02673051
author: Andrei Vesnin
author: A. C. Kim
published in: Siberian Mathematical Journal
publication date: 1999-05-11T00:00:00Z
review text: The authors introduce fractional Fibonacci groups which generalize the classical Fibonacci groups as well as their generalization introduced by C. Maclachlan. In the article under review, this generalization is studied and justified from the topological point of view. The authors study in detail three-dimensional manifolds whose fundamental groups are fractional Fibonacci groups. In particular, hyperbolic manifolds among them are distinguished and various constructions of such manifolds are described as branched coverings of the three-sphere.
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 1286050
zbMATH Keywords: three-dimensional manifolds
zbMATH Keywords: Fibonacci groups
zbMATH Keywords: uniformization
zbMATH Keywords: braids
zbMATH Keywords: Dehn surgery
zbMATH Keywords: fundamental groups
zbMATH Keywords: hyperbolic manifolds
zbMATH Keywords: branched coverings
reviewed by: I. A. Taimanov
describes a project that uses: SnapPea
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1286050