Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-26T18:31:33.343Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE FIXED POINTS OF AFINITE GROUP ACTING ON A RELATIVELY FREE LIE ALGEBRA

Published online by Cambridge University Press:  01 May 2000

R. M. BRYANT  and
A. I. PAPISTAS
R. M. BRYANT
Affiliation:
Department of Mathematics, UMIST, Manchester, M60 1QD, United Kingdom. E-mail: bryant@umist.ac.uk
A. I. PAPISTAS
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, GR 54006, Greece. E-mail: apapist@ccf.auth.gr
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that if F is a free Lie algebra of rank at least 2 and if G is a non-trivial finite group of automorphisms of F then the fixed point subalgebra F^G is not finitely generated. Some similar results are proved for relatively free Lie algebras.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 2 , May 2000 , pp. 167 - 181
Copyright
2000 Glasgow Mathematical Journal Trust