The \(SQ\)-universality of one-relator products of cyclics
type: Item
instance of: scholarly article
title: The \(SQ\)-universality of one-relator products of cyclics
zbMATH Open document ID: 0781.20018
DOI: 10.1007/BF03323096
author: Gerhard Rosenberger
published in: Results in Mathematics
publication date: 1992-09-27T00:00:00Z
review text: The question: ``Does \(SQ\)-universality hold for the one-relator product of cyclics \[ G = \langle a_ 1,\dots,a_ n \mid a_ 1^{e_ 1} = \dots = a_ n^{e_ n} = R^ m(a_ 1,\dots,a_ n) = 1\rangle, \] where \(n\geq 2\), \(m \geq 2\), \(e_ i = 0\) or \(e_ i \geq 2\) for \(i = 1,\dots,n\), \(R(a_ 1,\dots,a_ n)\) a cyclically reduced word in the free product on \(a_ 1,\dots,a_ n\) which involves \(a_ 1,\dots,a_ n\)?'' is investigated in this paper.
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20F10
zbMATH DE Number: 62179
zbMATH Keywords: triangle groups
zbMATH Keywords: \(SQ\)-universality
zbMATH Keywords: one-relator product of cyclics
zbMATH Keywords: cyclically reduced word
zbMATH Keywords: free product
reviewed by: Ravi N. Kalia
MaRDI profile type: Publication
cites work: Groups with two More Generators Than Relators
cites work: Generalized triangle groups
cites work: Groups with balanced presentations
cites work: One-Relator Quotients and Free Products of Cyclics
cites work: Embedding Theorems for Groups
cites work: Factor Groups of the Modular Group
cites work: Q4145882
cites work: The SQ-universality of some finitely presented groups
cites work: Q5670808
cites work: Sq-Universality in Hnn Groups and One Relator Groups
cites work: Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
full work available at URL: https://doi.org/10.1007/bf03323096
OpenAlex ID: W1971265002
description: scientific article; zbMATH DE number 62179