Skip to main content
SpringerLink
Log in

On generalized covering subgroups and normalizers of finite soluble groups

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

References

  1. R. Carter andT. Hawkes, The ℑ-Normalizers of a Finite Soluble Group. J. Algebra5, 175–202 (1967).

    Google Scholar 

  2. K.Doerk and T.Hawkes, Finite Soluble Groups. Manuscript.

  3. B.Fischer, Auflösbare Gruppen. Ausarbeitung der ersten 3 Kapitel der im Sommersemester 1972 an der Universität Bielefeld gehaltenen Vorlesung, unveröffentlicht.

  4. P. Förster, Charakterisierungen einiger Schunckklassen endlicher auflösbarer Gruppen I. J. Algebra55, 155–187 (1978).

    Google Scholar 

  5. W.Gaschütz, Lectures on subgroups of Sylow type in finite soluble groups. Notes on Pure Math.11, Canberra 1979.

  6. U. C. Herzfeld, On generalized covering subgroups and a characterisation of pronormal. Arch. Math.41, 404–409 (1983).

    Google Scholar 

  7. B.Huppert, Endliche Gruppen I. Berlin-Heidelberg-New York 1967.

  8. U. Kattwinkel, Die größte untergruppenabgeschlossene Teil-Klasse einer Schunckklasse endlicher auflösbarer Gruppen. Arch. Math.29, 337–343 (1977).

    Google Scholar 

  9. A. Mann, H-Normalizers if Finite Solvable Groups. J. Algebra14, 312–325 (1970).

    Google Scholar 

  10. A. Mann, A criterion for pronormality. J. London Math. Soc.44, 175–176 (1969).

    Google Scholar 

Download references

Author information

Author notes

  1. Luis M. Ezquerro

    Present address: Dpto. de Algebra y Fundamentos Fac. de CC. Matemáticas, Universidad L. de Valencia, Burjassot, Valencia, Spain

Authors and Affiliations

    Authors
    1. Luis M. Ezquerro
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    This work, supported by a Fleming Award of the Ministerio de Educaci6n y Ciencia of Spain was modelled at the Mathematics Institute of the University of Warwick (England). The author wishes to express his acknowledgement to all members of the staff of this Institute for their hospitality. Especially many thanks are due Dr. T. O. Hawkes for providing some reference material and for some friendly conversations.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Ezquerro, L.M. On generalized covering subgroups and normalizers of finite soluble groups. Arch. Math 47, 385–394 (1986). https://doi.org/10.1007/BF01189976

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01189976

    Keywords

    Search

    Navigation