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

Justin Tatch Moore

arxiv: 1106.4735 · v4 · pith:T6GHAIQFnew · submitted 2011-06-23 · 🧮 math.CO · math.DS· math.FA· math.GN· math.GR· math.LO

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

Justin Tatch Moore This is my paper

classification 🧮 math.CO math.DSmath.FAmath.GNmath.GRmath.LO

keywords conjecturesellisgrouphindmanlemmatheoremthompsonamenability

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The purpose of this article is to formulate conjectural generalizations of Hindman's Theorem and Ellis's Lemma for nonassociative binary systems and relate them to the amenability problem for Thompson's group $F$. Partial results are obtained for both conjectures. The paper will also contain some general analysis of the conjectures.

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

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