Uniform non-amenability of free Burnside groups

• Autores: Denis Osin
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 5, 2007, págs. 403-412
• Idioma: inglés
• DOI: 10.1007/s00013-006-2002-5
• Texto completo no disponible (Saber más ...)
• Resumen

  • The aim of this paper is to show that free Burnside groups of sufficiently large odd exponent are non-amenable in a certain strong sense. More precisely their left regular representations are isolated from the trivial representation uniformly on finite generating sets. It follows that free Burnside groups are of uniform exponential growth. This answers a question of de la Harpe.