Non-abelian free groups admit non-essentially free actions on rooted trees

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dc.creatorAbert, Miklos
dc.creatorElek, Gabor
dc.date2007-07-06
dc.date2007-07-18
dc.date.accessioned2026-07-07T08:18:41Z
dc.date.available2026-07-07T08:18:41Z
dc.descriptionWe show that every countable non-abelian free group $Γ$ admits a spherically transitive action on a rooted tree $T$ such that the action of $Γ$ on the boundary of $T$ is not essentially free. This reproves a result of Bergeron and Gaboriau. The existence of such an action answers a question of Grigorchuk, Nekrashevich and Sushchanskii.
dc.identifierhttps://arxiv.org/abs/0707.0970
dc.identifierhttp://arxiv.org/abs/0707.0970
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134518
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.titleNon-abelian free groups admit non-essentially free actions on rooted trees
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