Skip to main content
SpringerLink
Log in

Irreducible and transitive locally-nilpotent by abelian finitary groups

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

We show that a locally-nilpotent by abelian group that is either a transitive finitary permutation group on an infinite set or an irreducible finitary skew linear group of infinite dimension, is a p-group for some suitably chosen prime p.

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. School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London E1 4NS, U.K., , , , , , GB

    C.J.E. Pinnock

Authors
  1. C.J.E. Pinnock
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 27.1.1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pinnock, C. Irreducible and transitive locally-nilpotent by abelian finitary groups. Arch. Math. 74, 168–172 (2000). https://doi.org/10.1007/s000130050427

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130050427

Keywords

Search

Navigation