Skip to main content
SpringerLink
Log in

On the isomorphism problem in the class of extensions of a free group by an infinite cyclic group

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

In the automorphism group of a rank 3 free group we find two nonconjugate automorphisms whose mapping tori are isomorphic groups.

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

References

  1. Bogopolski O., Martino A., and Ventura E., The Automorphism Group of a Free-by-Cyclic Group in Rank 2 [Preprint, No. 640], Centre de Recerca Matematica, Bellaterra (2005).

    Google Scholar 

  2. Khramtsov D. G., “On outer automorphisms of free groups,” in: Group-Theoretic Studies [in Russian], Ural Otdel. Akad. Nauk SSSR, Sverdlovsk, 1990, pp. 95–127.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    R. A. Vikent’ev

Authors
  1. R. A. Vikent’ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text Copyright © 2007 Vikent’ev R. A.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 3, pp. 536–537, May–June, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vikent’ev, R.A. On the isomorphism problem in the class of extensions of a free group by an infinite cyclic group. Sib Math J 48, 428–429 (2007). https://doi.org/10.1007/s11202-007-0045-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-007-0045-x

Keywords

Search

Navigation