Hindman's Theorem, Ellis's Lemma, and Thompson's group F

Details Hindman's Theorem, Ellis's Lemma, and Thompson's group F Hindman's Theorem, Ellis's Lemma, and Thompson's group F

2011-06-23

arxiv.org/abs/1106.4735v2

Mathematics

Combinatorics

17 pages. Major revisions throughout and major structural changes to the proofs. Previous version had serious errors in the pr

Scientific paper

The purpose of this article is to formulate generalizations of Hindman's
Theorem and Ellis's Lemma for non associative groupoids. A relation between
these conjectures is proved and it is shown that they imply the amenability of
Thompson's group F. In fact the amenability of F is equivalent to a finite form
of the conjectured extension of Hindman's Theorem.

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