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Convexity properties of Thompson's group F

Matthew Horak, Melanie Stein, Jennifer Taback
Arxiv ID: 0801.1862Last updated: 9/24/2021
We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contains x_1. We use this to show that F is not almost convex with respect to any generating set which is a subset of the standard infinite generating set.

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