Nonassociative Ramsey Theory and the amenability of Thompson's group
Abstract
The purpose of this article is prove that Thompson's group F is amenable. The methods developed will then be used to prove a generalization of Hindman's theorem for the free nonassociative binary system on one generator.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2012
- DOI:
- 10.48550/arXiv.1209.2063
- arXiv:
- arXiv:1209.2063
- Bibcode:
- 2012arXiv1209.2063T
- Keywords:
-
- Mathematics - Group Theory;
- Mathematics - Combinatorics;
- Mathematics - Functional Analysis;
- Mathematics - Logic;
- Mathematics - Representation Theory;
- 03E02;
- 03E50;
- 05D10;
- 05C55;
- 20F38;
- 20F65;
- 43A07
- E-Print:
- Over the weekend of September 29-30, 2012, Azer Akhmedov pointed out a serious error in Lemma 4.13. This error appears to be both serious and irreparable. I therefore withdraw my claim of a proof that F is amenable