Skip to main content
SpringerLink
Log in

Frattinian p-groups

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

The notion of a Frattinian p-group generalizes that of an extra-special p-group. We prove a central decomposition theorem and describe some relations to Frattini extensions and to automorphisms of finite p-groups.

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. Caranti, A., ‘On the automorphism group of certain p-groups of class 4’, Boll. Un. Mat. Ital. B (6) (1983), 605–615.

    Google Scholar 

  2. Gaschütz, W., ‘Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden’, Math. Z. 60 (1954), 274–286.

    Google Scholar 

  3. Gaschütz, W., ‘Kohomologische Trivialitäten und äuβere Automorphismen von p-Gruppen’, Math. Z. 88 (1965), 432–433.

    Google Scholar 

  4. Griess, R. L. and Schmid, P., ‘The Frattini module’, Arch. Math. 30 (1978), 256–266.

    Google Scholar 

  5. Gruenberg, K. W., ‘Cohomological topics in group theory’, Springer Lecture Notes in Math. 143 (1970).

  6. Müller, O., ‘On p-automorphisms of finite p-groups’, Arch. Math. 32 (1979), 533–538.

    Google Scholar 

  7. Schmid, P., ‘A cohomological property of regular p-groups’, Math. Z. 175 (1980), 1–3.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität Tübingen, Auf der Morgenstelle 10, D-7400, Tübingen, Germany

    Peter Schmid

Authors
  1. Peter Schmid
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To Helmut Salzmann on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schmid, P. Frattinian p-groups. Geom Dedicata 36, 359–364 (1990). https://doi.org/10.1007/BF00150800

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00150800

Keywords

Search

Navigation