English

Unbounded asymmetry of stretch factors

Group Theory 2015-08-10 v1

Abstract

A result of Handel-Mosher guarantees that the ratio of logarithms of stretch factors of any fully irreducible automorphism of the free group FNF_N and its inverse is bounded by a constant CNC_N. In this short note we show that this constant CNC_N cannot be chosen independent of NN.

Keywords

Cite

@article{arxiv.1405.0771,
  title  = {Unbounded asymmetry of stretch factors},
  author = {Spencer Dowdall and Ilya Kapovich and Christopher J Leininger},
  journal= {arXiv preprint arXiv:1405.0771},
  year   = {2015}
}

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2 pages