Geometric quotients of link groups
type: Item
instance of: scholarly article
title: Geometric quotients of link groups
zbMATH Open document ID: 0774.57004
DOI: 10.1016/0166-8641(92)90145-P
published in: Topology and its Applications
publication date: 1993-05-16T00:00:00Z
review text: A geometric method is given for finding quotients of a link group. A projection of the link is chosen and a spanning surface of the link is constructed. The latter decomposes as disks connected by maximal bands, the bands are contracted forming a quotient all of whose relations are of Artin-type, and which may be an Artin group. Various examples are included of these contractions and Artin quotients. The author has added a ``note into the proof'' that his method requires some modification both in Section 2 and in Section 5.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 166580
zbMATH Keywords: quotients of a link group
zbMATH Keywords: projection of the link
zbMATH Keywords: spanning surface
zbMATH Keywords: Artin group
author: Andrew M. Brunner
reviewed by: Leonard R. Rubin
MaRDI profile type: Publication
cites work: Q3697232
cites work: Artin groups and infinite Coxeter groups
cites work: Q3941610
cites work: Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
cites work: Artin-Gruppen und Coxeter-Gruppen
cites work: Q4693148
cites work: Q4289996
cites work: Polyhedral groups and graph amalgamation products
cites work: Les immeubles des groupes de tresses généralises
cites work: A quick trip through knot theory
cites work: Q3989600
cites work: Q4045253
cites work: On Tit's conjecture and other questions concerning Artin and generalized Artin groups
cites work: Groups with Presentations in Which Each Defining Relator Involves Exactly Two Generators
cites work: Q5605923
cites work: Q4064710
description: scientific article; zbMATH DE number 166580