Thompson's Group F is not Minimally Almost Convex

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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.
14 pages, 15 figures, 1 table

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Group Theory, 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/66251

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301141
 http://arxiv.org/abs/math/0301141

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arXiv