arXiv:0710.3633 Abstract | arXiv Analytics

arXiv:0710.3633 [math.GR]Abstract References Reviews Resources

Dynamics in Thompson's Group F

Published 2007-10-19, updated 2012-09-07Version 3

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.

Comments: This paper has been merged with the preprint http://arxiv.org/abs/0708.4250 which underwent a major revision and is now called "Conjugacy and Dynamics in Thompson's groups"

Categories: math.GR, math.DS

Subjects: 20F65

Keywords: thompsons group, strand diagrams, explicit relationship, piecewise-linear functions, one-bump functions

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