Forest Diagrams for Elements of Thompson's Group F

  title={Forest Diagrams for Elements of Thompson's Group F},
  author={James M. Belk and Kenneth S. Brown},
We introduce forest diagrams to represent elements of Thompson’s group F . These diagrams relate to a certain action of F on the real line in the same way that tree diagrams relate to the standard action of F on the unit interval. Using forest diagrams, we give a conceptually simple length formula for elements of F with respect to the {x0, x1} generating set, and we discuss the construction of minimum-length words for positive elements. Finally, we use forest diagrams and the length formula to… CONTINUE READING

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Growth of Positive Words in Thompson’s Group F

Bur José Burillo

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