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

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

2009-02-23

arxiv.org/abs/0902.3849v5

Mathematics

Group Theory

66 pages, 8 Figures

Scientific paper

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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