A generalization of the Hall-Witt identity
type: Item
instance of: scholarly article
title: A generalization of the Hall-Witt identity
zbMATH Open document ID: 1403.20048
author: Boaz Cohen
published in: Israel Journal of Mathematics
publication date: 2017-11-17T00:00:00Z
review text: The Hall-Witt formula \[ [[x_3,x_1^{-1}],x_2]^{x_1}[[x_1,x_2^{-1}],x_3]^{x_2}[[x_2,x_3^{-1}], x_1]^{x_3} = 1 \] is a kind of three-variable identity which is true in every group. In this paper, the Hall-Witt property of a word \(w\) is defined and it is shown how an infinite number of Hall-Witt-type identities in many variables can be generated by \(w\).
reviewed by: Vitaliĭ Roman'kov
Mathematics Subject Classification ID: 20F12
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 20E06
zbMATH DE Number: 6808412
zbMATH Keywords: commutator identity
MaRDI profile type: Publication
full work available at URL: s11856-017-1567-y
OpenAlex ID: W2756935655
cites work: Q3342725
cites work: Q3521460
DOI: 10.1007/S11856-017-1567-Y
description: scientific article; zbMATH DE number 6808412