Nonassociative Ramsey Theory and the amenability of Thompson's group
classification
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math.COmath.FAmath.LOmath.RT
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groupnonassociativeprovethompsonamenabilityamenablearticlebinary
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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.
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