Periodic automorphisms of the free Lie algebra of rank 3
type: Item
instance of: scholarly article
title: Periodic automorphisms of the free Lie algebra of rank 3
zbMATH Open document ID: 1273.17007
DOI: 10.1134/S0037446611030177
author: M. A. Shevelin
published in: Siberian Mathematical Journal
publication date: 2011-10-25T00:00:00Z
review text: The author proves the following result. Theorem. Each automorphism of finite order of the free Lie algebra of rank 3 over an algebraically closed field is conjugate to a linear automorphism provided that the field characteristic does not divide the automorphism order. The proof essentially relies on the fact that the automorphism group of a finitely generated free algebra of a Schreier variety is finitely presented \textit{U. U. Umirbaev} [J. Algebra 314, No. 1, 209--225 (2007; Zbl 1132.17002)].
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 17A36
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 5963621
zbMATH Keywords: free Lie algebra
zbMATH Keywords: automorphism group
reviewed by: Victor Petrogradsky
MaRDI profile type: Publication
Wikidata QID: Q115248605
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description: scientific article; zbMATH DE number 5963621