English

Fixed points of irreducible, displacement one automorphisms of free products

Group Theory 2023-05-03 v1

Abstract

We consider the action of outer automorphisms on the deformation space O\mathcal{O} of GG-trees given by a free product decomposition of a group GG. We show that an irreducible, displacement 1 automorphism fixes exactly one point in O1\mathcal{O}_1 (the covolume 1 slice of O\mathcal{O}).

Keywords

Cite

@article{arxiv.2305.01451,
  title  = {Fixed points of irreducible, displacement one automorphisms of free products},
  author = {Matthew Collins},
  journal= {arXiv preprint arXiv:2305.01451},
  year   = {2023}
}