Skip to main content
SpringerLink
Log in

Hyperbolic automorphisms of free groups

  • Published:
Geometric and Functional Analysis Aims and scope Submit manuscript

Abstract.

We prove that an automorphism \( {\not o} : F \to F \) of a finitely generated free group F is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes. This result was previously claimed (but not proved) in [BF1].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana—Champaign, 273 Altgeld Hall, 1409 W. Green Street, 61801, Urbana, IL, USA

    P. Brinkmann

Authors
  1. P. Brinkmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Brinkmann.

Additional information

Submitted: April 1999, Revised version: July 1999, Final version: September 1999.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Brinkmann, P. Hyperbolic automorphisms of free groups . GAFA, Geom. funct. anal. 10, 1071–1089 (2000). https://doi.org/10.1007/PL00001647

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00001647

Keywords

Search

Navigation