English

An algorithm to detect full irreducibility by bounding the volume of periodic free factors

Group Theory 2014-07-24 v3 Geometric Topology

Abstract

We provide an effective algorithm for determining whether an element of the outer automorphism group of a free group is fully irreducible. Our method produces a finite list which can be checked for periodic proper free factors.

Keywords

Cite

@article{arxiv.1402.7342,
  title  = {An algorithm to detect full irreducibility by bounding the volume of periodic free factors},
  author = {Matt Clay and Johanna Mangahas and Alexandra Pettet},
  journal= {arXiv preprint arXiv:1402.7342},
  year   = {2014}
}

Comments

16 pages; to appear in MMJ