Small cancellation theory with a weakened small cancellation hypothesis. I: The basic theory
type: Item
instance of: scholarly article
title: Small cancellation theory with a weakened small cancellation hypothesis. I: The basic theory
zbMATH Open document ID: 0603.20028
DOI: 10.1007/BF02772696
published in: Israel Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: This is the first in a series of papers in which the author develops a small-cancellation theory under a hypothesis W(4) which is weaker than the condition C(4) \& T(4). One of the motivations for this is to solve the conjugacy problem for certain classes of one-relator groups, which satisfy W(4) but not any of the standard small cancellation conditions. Roughly speaking, the C and T conditions relate to the degrees of regions and vertices respectively in van Kampen diagrams. The W condition is a mixture of the two. It consists of a sequence of conditions on the degrees of vertices around a given region, depending on the degree of the region. In the present paper the basic theory is developed, and a version of Greendlinger's Lemma is proved.
Mathematics Subject Classification ID: 20F06
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 3973152
zbMATH Keywords: conjugacy problem
zbMATH Keywords: one-relator groups
zbMATH Keywords: small cancellation conditions
zbMATH Keywords: van Kampen diagrams
zbMATH Keywords: Greendlinger's Lemma
author: Arye Juhász
MaRDI profile type: Publication
cites work: Q4012136
cites work: Q5429970
cites work: Q4145882
description: scientific article; zbMATH DE number 3973152