Convexity properties of Thompson's group F

Mathematics – Group Theory

Scientific paper

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11 pages, 3 figures

Scientific paper

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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