Skip to main content
SpringerLink
Log in

On the dynamics and the fixed subgroup of a free group automorphism

  • Published:
Inventiones mathematicae Aims and scope

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

References

  • [C-L] Cohen, M., Lustig, M.: On free group automorphisms, the rank of their fixed subgroup, and their realization by surface homeomorphisms. Abstracts Amer. Math. Soc., Vol. 8. No. 2 (1987), #832-57-107, p. 183

    Google Scholar 

  • [C-M-Z] Cohen, M., Metzler, W., Zimmerman, A.: What does a basis ofF(a, b) look like? Math. Ann.257, 435–445 (1981)

    Google Scholar 

  • [C] Cooper, D.: Automorphisms of free groups have finitely generate fixed point sets. J. Algebra111, 453–456 (1987)

    Google Scholar 

  • [C-V] Culler, M., Vogtmann, K.: Moduli of graphs and automorphisms of free groups. Invent. Math.84, 91–119 (1986)

    Google Scholar 

  • [G] Gersten, S.M.: Fixed point of automorphisms of free groups. Adv. Math.64, 51–85 (1987)

    Google Scholar 

  • [G-T] Goldstein, R.Z., Turner, E.C.: Fixed subgroups of homomorphisms of free groups. Bull. London Math. Soc.18, 468–470 (1986)

    Google Scholar 

  • [I-K-T1] Imrich, W., Krstic, S., Turner, E.C.: On the rank of fixed point sets of automorphisms of free groups. Preprint

  • [I-K-T2] Imrich, W., Krstic, S., Turner, E.C.: Fixed subsets of homomorphisms of free groups. Preprint

  • [L] Lustig, M.: Automorphisms of free groups and homeomorphisms of bounded surfaces. to appear

  • [S-S] Scharlemann, M., Squier, C.: Automorphisms of the free group of rank two without finite orbits. Contemp. Math.20, 341–346 (1983)

    Google Scholar 

  • [St] Stallings, J.R.: Topologically unrealizable automorphisms of free groups. Proc. Am. Math. Soc.84, 21–24 (1982)

    Google Scholar 

  • [Z1] Zhang Xingguo: Automorphisms of free groups and the Gersten bridges. Preprint

  • [Z2] Zhang Xingguo: Building the Gersten bridges without fibre product. Preprint.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Cornell University, White Hall, 14853, Ithaca, NY, USA

    Marshall M. Cohen

  2. Institut für Mathematik, Ruhr-Universität Bochum, Postfach 1021 48, D-4630, Bochum 1, Federal Republic of Germany

    Martin Lustig

Authors
  1. Marshall M. Cohen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Martin Lustig
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by NSF Contract # DMS 8502278 and

# DMS 8603523 and a visiting fellowship from SFB 170, Göttingen

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cohen, M.M., Lustig, M. On the dynamics and the fixed subgroup of a free group automorphism. Invent Math 96, 613–638 (1989). https://doi.org/10.1007/BF01393699

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393699

Keywords

Search

Navigation