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arxiv: 0902.3849 · v8 · pith:ZGPLBO7Lnew · submitted 2009-02-23 · 🧮 math.GR

A new metric criterion for non-amenability III: Non-amenability of R.Thompson's group F

classification 🧮 math.GR
keywords non-amenabilitycriteriagroupmetricseriesthompsonapplicationapplications
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We present new metric criteria for non-amenability and discuss applications. The main application of the results of this paper is the proof of non-amenability of R.Thompson's group F. This is a continuation of the series of papers on our criteria for non-amenability. The current paper is independent of other papers in the series.

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Cited by 1 Pith paper

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.