Skip to main content
SpringerLink
Log in

On Embeddings of the Free Group into the Group of Infinite Unitriangular Matrices

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

With the help of the ping-pong lemma it is proved that some 2-generated subgroups of the group of infinite unitriangular integer matrices are free. Some of these examples are similar to the celebrated examples by W. Hołubowski (2003).

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

Reference

  1. W. Hołubowski, “Free subgroups of the group of infinite unitriangular matrices,” Internat. J. Algebra Comput., 13, No. 1, 81–86 (2003).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    A. I. Generalov & A. S. Mironov

Authors
  1. A. I. Generalov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. Mironov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Generalov.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 484, 2019, pp. 55–58.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Generalov, A.I., Mironov, A.S. On Embeddings of the Free Group into the Group of Infinite Unitriangular Matrices. J Math Sci 252, 782–783 (2021). https://doi.org/10.1007/s10958-021-05198-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-021-05198-5

Search

Navigation