Uniform non--amenability of free Burnside groups

Simple item page
dc.creatorOsin, D. V.
dc.date2004-04-05
dc.date.accessioned2026-07-07T05:07:06Z
dc.date.available2026-07-07T05:07:06Z
dc.descriptionWe 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. This result is applied to the solution of a strong version of the von Neumann -- Day problem concerning amenability of groups without non--abelian free subgroups. As another consequence, we obtain that the above--mentioned groups are of uniform exponential growth.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0404073
dc.identifierhttp://arxiv.org/abs/math/0404073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70725
dc.subjectGroup Theory
dc.subject20F65; 20F69
dc.titleUniform non--amenability of free Burnside groups
dc.typetext

Files

Collections

arXiv