The structure group of an \(L\)-algebra is torsion-free
type: Item
instance of: scholarly article
title: The structure group of an \(L\)-algebra is torsion-free
zbMATH Open document ID: 1367.20040
author: Wolfgang Rump
published in: Journal of Group Theory
publication date: 2017-03-14T00:00:00Z
review text: It is well-known that Artin's braid groups are torsion-free. In this paper, the author considers a structure group of a given \(L\)-algebra and it is proved that the structure group of any \(L\)-algebra is torsion-free.
Mathematics Subject Classification ID: 20F60
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 16T25
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 6694619
zbMATH Keywords: structure group
zbMATH Keywords: left hoop
zbMATH Keywords: torsion-free group
zbMATH Keywords: left group of fractions
zbMATH Keywords: \(L\)-algebra
reviewed by: Yuri Movsisyan
MaRDI profile type: Publication
full work available at URL: jgth-2016-0037
OpenAlex ID: W2522010889
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DOI: 10.1515/JGTH-2016-0037
description: scientific article; zbMATH DE number 6694619