Amenability of Universal 2-Grigorchuk group

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dc.creatorMuchnik, Roman
dc.date2005-05-26
dc.date2005-06-10
dc.date.accessioned2026-07-07T05:20:17Z
dc.date.available2026-07-07T05:20:17Z
dc.descriptionWe consider the universal Grigorchuk 2-group, i.e., the group such that every Grigorchuk 2-group is a quotient. We show that this group has a nice universal representation in the group of all functions f:{0,1,2}^N --> Aut(T_2), where T_2 is a group of automorphism of the binary tree. Finally, we prove that this universal Grigorchuk 2-group is amenable. The proof is an application of the ``Munchhausen trick'' developed by V. Kaimanovich.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0505572
dc.identifierhttp://arxiv.org/abs/math/0505572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75324
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.titleAmenability of Universal 2-Grigorchuk group
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