English

Mapping tori of free group automorphisms are coherent

Group Theory 2009-09-25 v1

Abstract

The mapping torus of an endomorphism \Phi of a group G is the HNN-extension G*_G with bonding maps the identity and \Phi. We show that a mapping torus of an injective free group endomorphism has the property that its finitely generated subgroups are finitely presented and, moreover, these subgroups are of finite type.

Keywords

Cite

@article{arxiv.math/9905209,
  title  = {Mapping tori of free group automorphisms are coherent},
  author = {Mark Feighn and Michael Handel},
  journal= {arXiv preprint arXiv:math/9905209},
  year   = {2009}
}

Comments

17 pages, published version