A generalization of Stallings' pregroup
type: Item
instance of: scholarly article
title: A generalization of Stallings' pregroup
zbMATH Open document ID: 0659.20026
DOI: 10.1016/0021-8693(88)90082-8
author: Harvey Kushner
author: Seymour Lipschutz
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: A ``pree'' P is a nonempty set with a partial operation. The ``universal group'' G(P) of P is the group whose generators are the elements of P and defining relations come from the partial operation in P. If P can be embedded in G(P) then it is called by John R. Stallings a ``pregroup''. In this paper, the authors define a wider class of prees which are pregroups.
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C05
zbMATH DE Number: 4077547
zbMATH Keywords: partial operation
zbMATH Keywords: universal group
zbMATH Keywords: generators
zbMATH Keywords: relations
zbMATH Keywords: prees
zbMATH Keywords: pregroups
reviewed by: C. G. Chehata
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90082-8
OpenAlex ID: W2006359692
cites work: Length functions and pregroups
cites work: Pregroups and length functions
cites work: Length Functions in Groups.
cites work: Q3027223
cites work: Pregroups and Bass-Serre theory
cites work: Q3341041
cites work: Irreducible Outer Automorphisms of a Free Group
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description: scientific article; zbMATH DE number 4077547