English

An efficient algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group

Group Theory 2014-01-16 v6

Abstract

We prove that for any automorphism α\alpha of a free group F of finite rank, one can efficiently compute a basis of the fixed point subgroup Fix(\alpha).

Keywords

Cite

@article{arxiv.1204.6728,
  title  = {An efficient algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group},
  author = {Oleg Bogopolski and Olga Maslakova},
  journal= {arXiv preprint arXiv:1204.6728},
  year   = {2014}
}

Comments

68 pages, 23 figures. Added: Splitting Lemma in Section 11, and an algorithm for finding of normal verices in Section 7