Thompson's Group F is not Minimally Almost Convex

Mathematics – Group Theory

Scientific paper

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14 pages, 15 figures, 1 table

Scientific paper

We prove that Richard Thompson's group F is not minimally almost convex with
respect to the two standard generators. This improves upon a recent result of
S. Cleary and J. Taback. We make use of the forest diagrams for elements of F
introduced by J. Belk and K. Brown. These diagrams seem particularly
well-suited for understanding the Cayley graph for the two standard generators.

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