Twisting symmetry-spins of pretzel knots
type: Item
instance of: scholarly article
title: Twisting symmetry-spins of pretzel knots
zbMATH Open document ID: 0727.57021
author: Masakazu Teragaito
published in: Proceedings of the Japan Academy. Series A
publication date: 1990-01-01T00:00:00Z
review text: 2-knots in \(S^ 4\) may have groups with finite commutator subgroups of the form \(G\times {\mathbb{Z}}_ d\) [\textit{J. A. Hillman}, Bull. Austral. Math. Soc. 16, 449-462 (1977; Zbl 0352.57011)]. The author constructs fibred 2-knots where \(G=Q(8)\) is the quaternion group, and \(d=3,21,27\), extending the range of known examples. They are obtained as products of symmetry- and twist-spinnings of pretzel knots.
Mathematics Subject Classification ID: 57Q45
zbMATH DE Number: 4201170
zbMATH Keywords: prism manifold
zbMATH Keywords: 2-knots
zbMATH Keywords: fibred 2-knots
zbMATH Keywords: twist-spinnings
reviewed by: Gerhard Burde
MaRDI profile type: Publication
full work available at URL: pjaa.66.179
OpenAlex ID: W2095380555
cites work: High dimensional knot groups which are not two-knot groups
cites work: Q3995077
cites work: Q3871581
cites work: Deforming twist spun 2-bridge knots of genus one
cites work: Q4197065
cites work: Deforming Twist-Spun Knots
cites work: Seifert manifolds
cites work: Q4107635
cites work: Q4733128
cites work: Q3900690
DOI: 10.3792/PJAA.66.179
description: scientific article; zbMATH DE number 4201170