English

A description of auto-fixed subgroups in a free group

Group Theory 2007-05-23 v1 Geometric Topology

Abstract

Let FF be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of FF (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of FF which occur as the fixed subgroup of some automorphism is given.

Keywords

Cite

@article{arxiv.math/0306380,
  title  = {A description of auto-fixed subgroups in a free group},
  author = {A. Martino and E. Ventura},
  journal= {arXiv preprint arXiv:math/0306380},
  year   = {2007}
}

Comments

41 pages

R2 v1 2026-07-22T16:55:44.422Z