The word problem for the Burnside varieties
type: Item
instance of: scholarly article
title: The word problem for the Burnside varieties
zbMATH Open document ID: 0831.20040
published in: Journal of Algebra
publication date: 1996-02-06T00:00:00Z
review text: Let \(B_n\) denote the group variety defined by the identity \(x^n=1\). In this work the following main result is obtained. Theorem. If \(n=pr\), where \(p\geq 3\) is prime and \(r\) has an odd divisor \(\geq 665\) or \(r\geq 2^{48}\), then there exists a group finitely presented in the variety \(B_n\) with insoluble word problem.
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 20E10
Mathematics Subject Classification ID: 20F50
zbMATH DE Number: 763963
zbMATH Keywords: variety of groups
zbMATH Keywords: relations
zbMATH Keywords: Minsky algorithm
zbMATH Keywords: finitely presented groups
zbMATH Keywords: insoluble word problem
author: Olga Kharlampovich
MaRDI profile type: Publication
full work available at URL: jabr.1995.1105
OpenAlex ID: W2075551917
DOI: 10.1006/JABR.1995.1105
description: scientific article; zbMATH DE number 763963