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Abstract: We give a unified solution to the conjugacy problem for Thompson-s groups F,T, and V. The solution uses strand diagrams, which are similar in spirit tobraids and generalize tree-pair diagrams for elements of Thompson-s groups.Strand diagrams are closely related to piecewise-linear functions for elementsof Thompson-s groups, and we use this correspondence to investigate thedynamics of elements of F. Though many of the results in this paper are known,our approach is new, and it yields elegant proofs of several old results.



Author: James Belk, Francesco Matucci

Source: https://arxiv.org/







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