Aspherical group presentations
type: Item
instance of: scholarly article
title: Aspherical group presentations
zbMATH Open document ID: 0443.20030
DOI: 10.1007/BF01218369
author: Donald J. Collins
author: Ian Chiswell
author: J. Huebschmann
published in: Mathematische Zeitschrift
publication date: 1981-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173085
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E05
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 57M20
zbMATH DE Number: 3691588
zbMATH Keywords: presentations of groups
zbMATH Keywords: 2-dimensional CW-complexes
zbMATH Keywords: Cayley complexes
zbMATH Keywords: asphericity
zbMATH Keywords: presentations of subgroups
zbMATH Keywords: HNN-extensions
zbMATH Keywords: free products with amalgamations
zbMATH Keywords: free generators
zbMATH Keywords: 3-manifold groups
zbMATH Keywords: fundamental groups
MaRDI profile type: Publication
cites work: A Proof of the Freiheitssatz and the Cohen-Lyndon Theorem for One-Relator Groups
cites work: Exact sequences associated with a graph of groups
cites work: Subgroups of HNN groups
cites work: Free Bases for Normal Subgroups of Free Groups
cites work: Spherical diagrams and identities among relations
cites work: Classification of soluble groups of cohomological dimension two
cites work: ON THE SECOND HOMOTOPY GROUP
cites work: Cohomology theory of aspherical groups and of small cancellation groups
cites work: The homotopy type of a combinatorially aspherical presentation
cites work: Aspherical 2-complexes and an unsettled problem of J.H.C.Whitehead
cites work: On a Theorem of Cohen and Lyndon About Free Bases for Normal Subgroups
cites work: Cohomology theory of groups with a single defining relation
cites work: Length Functions in Groups.
cites work: On Dehn's algorithm
cites work: Q4145882
cites work: Q4134589
cites work: On Dehn's lemma and the asphericity of knots
cites work: Über Identitäten zwischen Relationen
cites work: Über Identitäten von Relationen
cites work: Q5667781
cites work: Combinatorial isomorphisms and combinatorial homotopy equivalences
cites work: Framed links for Peiffer identities
cites work: Groups of cohomological dimension one
cites work: Homology of group systems with applications to knot theory
cites work: On irreducible 3-manifolds which are sufficiently large
cites work: The Word and Conjugacy Problems for the Knot Group of any Tame, Prime, Alternating Knot
cites work: On adding relations to homotopy groups
cites work: Combinatorial homotopy. II
cites work: Flächen und ebene diskontinuierliche Gruppen
description: scientific article; zbMATH DE number 3691588