Dynamics in Thompson's Group F

Details Dynamics in Thompson's Group F Dynamics in Thompson's Group F

2007-10-19

arxiv.org/abs/0710.3633v2

Mathematics

Group Theory

21 pages, 34 figures, 5 diagrams; added references and improved exposition

Scientific paper

We describe an explicit relationship between strand diagrams and
piecewise-linear functions for elements of Thompson's group F. Using this
correspondence, we investigate the dynamics of elements of F, and we show that
conjugacy of one-bump functions can be described by a Mather-type invariant.

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