English

Fixed points and stable images of endomorphisms for the free group of rank two

Group Theory 2020-09-11 v1

Abstract

We give an algorithm which computes the fixed subgroup and the stable image for any endomorphism of the free group of rank two F2F_2, answering for F2F_2 a question posed by Stallings in 1984 and a question of Ventura.

Keywords

Cite

@article{arxiv.2009.04937,
  title  = {Fixed points and stable images of endomorphisms for the free group of rank two},
  author = {Laura Ciobanu and Alan D. Logan},
  journal= {arXiv preprint arXiv:2009.04937},
  year   = {2020}
}

Comments

34 pages