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arxiv: 1607.04915 · v2 · pith:3O6BYJXInew · submitted 2016-07-17 · 🧮 math.GR

Thompson's group F is not strongly amenable

Yair Hartman , Kate Juschenko , Omer Tamuz , Pooya Vahidi Ferdowsi This is my paper
classification 🧮 math.GR
keywords groupthompsonactionamenablecompactfixedmetricpoints
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We show that Thompson's group $F$ has a topological action on a compact metric space that is proximal and has no fixed points.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Superharmonic functions on the Lamplighter graph of Thompson's group F

    math.GR 2019-07 unverdicted novelty 5.0

    Extends a superharmonic-function amenability test to group actions and applies it to Thompson's group F without resolving amenability.