Skip to main content
SpringerLink
Log in

Non-free torsion-free profinite groups with open free subgroups

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

For every integere≧3 there exists a non-free torsion-free profinite group containing ª as an open subgroup.

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. E. Binz, J. Neukirch and G. H. Wenzel,A subgroup theorem for free products of profinite groups. J. Algebra19 (1971), 104–109.

    Article  MATH  MathSciNet  Google Scholar 

  2. M. Jarden,Algebraic extensions of finite corank of Hilbertian fields, Isr. J. Math.18 (1974), 279–307.

    MATH  MathSciNet  Google Scholar 

  3. M. Jarden,Torsion-free profinite groups with open free subgroups, Arch. Math.39 (1982), 496–500.

    Article  MATH  MathSciNet  Google Scholar 

  4. O. V. Mel'nikov,Normal subgroups of free profinite groups, Math. USSR Izv.12 (1978), 1–20.

    Article  MATH  Google Scholar 

  5. J.-P. Serre,Sur la dimension cohomologique des groupes profinis, Topology3 (1965), 413–420.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. R. Stalling,On torsion-free groups with infinitely many ends, Ann. Math.88 (1968), 312–334.

    Article  Google Scholar 

  7. R. G. Swan,Groups of cohomological dimension one, J. Algebra12 (1969), 585–610.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Bismarckstr. 1 1/2, D-8520, Erlangen, W. Germany

    Dan Haran

Authors
  1. Dan Haran
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by Rothschild Fellowship.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Haran, D. Non-free torsion-free profinite groups with open free subgroups. Israel J. Math. 50, 350–352 (1985). https://doi.org/10.1007/BF02759765

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02759765

Keywords

Search

Navigation