Combinatorial and metric properties of Thompson's group T

@article{Burillo2005CombinatorialAM,
  title={Combinatorial and metric properties of Thompson's group T},
  author={J. Burillo and S. Cleary and M. Stein and J. Taback},
  journal={Transactions of the American Mathematical Society},
  year={2005},
  volume={361},
  pages={631-652}
}
We discuss metric and combinatorial properties of Thompson's group T, such as the normal forms for elements and uniqueness of tree pair diagrams. We relate these properties to those of Thompson's group F when possible, and highlight combinatorial differences between the two groups. We define a set of unique normal forms for elements of T arising from minimal factorizations of elements into convenient pieces. We show that the number of carets in a reduced representative of T estimates the word… Expand

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