English

Dynamics of iwip automorphisms of free products

Group Theory 2023-09-12 v1

Abstract

Let GG be a free product and Out(G)\mathrm{Out}(G) the outer automorphism group of GG. In this article using the theory of laminations we give a criterion for a subgroup HH of Out(G)\mathrm{Out}(G) to contain a nonabelian free subgroup. We also study the centraliser of an iwip element of Out(G)\mathrm{Out}(G) and the stabiliser of its associated lamination.

Keywords

Cite

@article{arxiv.2309.04569,
  title  = {Dynamics of iwip automorphisms of free products},
  author = {Ioannis Papavasileiou and Dionysios Syrigos},
  journal= {arXiv preprint arXiv:2309.04569},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:math/9712217 by other authors