Skip to main content
SpringerLink
Log in

Finite images and characters of topological groups

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

We investigate conditions under which every finite homomorphic image of a topological group is obtained as that of a continuous homomorphism. An Abelian topological group has such property if it is compact or if it has bounded exponent and sufficiently many characters.

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. Eda Laboratory, School of Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169-8555, Japan, , , , , , JP

    M. Higasikawa

Authors
  1. M. Higasikawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 16.2.1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Higasikawa, M. Finite images and characters of topological groups. Arch. Math. 74, 337–341 (2000). https://doi.org/10.1007/s000130050452

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130050452

Keywords

Search

Navigation