Extends a superharmonic-function amenability test to group actions and applies it to Thompson's group F without resolving amenability.
A new metric criterion for non-amenability III: Non-amenability of R.Thompson's group F
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abstract
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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math.GR 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Superharmonic functions on the Lamplighter graph of Thompson's group F
Extends a superharmonic-function amenability test to group actions and applies it to Thompson's group F without resolving amenability.