Skip to main content
SpringerLink
Log in

On minimal relation modules and 1-cohomology of finite 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. M.Aschbacher and R.Guralnick, Some Applications of the first Cohomology Group. To appear J. Algebra.

  2. J. Cossey, K. W. Gruenberg andL. G. Kovács, The presentation rank of a direct product of finite groups. J. Algebra28, 597–603 (1974).

    Google Scholar 

  3. K. W. Gruenberg, Relation modules of finite groups. Regional conference series in mathematics25, Providence R.I., AMS 1976.

    Google Scholar 

  4. K. W. Gruenberg, Groups of non-zero presentation rank. Symposia MathematicaXVII, 215–224 (1976).

    Google Scholar 

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

  6. W. Kimmerle, Relative relation modules as generators for integral group rings of finite groups. Math. Z.172, 143–156 (1980).

    Google Scholar 

  7. K. W. Roggenkamp, Relation modules of finite groups and related topics. Algebra i Logika12, 351–359 (1973).

    Google Scholar 

  8. K. W.Roggenkamp, Integral Representations. LNM744, Second part. Berlin-Heidelberg-New York 1979.

  9. R. G.Swan,K-theory of finite groups and orders. LNM149, Berlin-Heidelberg-New York 1970.

  10. J. Wiegold, Growth sequences of finite groups II. J. Aust. Math. Soc.20, 225–229 (1975).

    Google Scholar 

  11. J. S. Williams, Free presentations and relation modules of finite groups. J. Pure Appl. Algebra3, 203–217 (1973).

    Google Scholar 

  12. J. S. Williams, Trace ideals of relation modules of finite groups. Math. Z.163, 261–274 (1978).

    Google Scholar 

Download references

Author information

Author notes

  1. Wolfgang Kimmerle

    Present address: Mathematisches Institut B, Universität Stuttgart, Postfach 560, D-7000, Stuttgart 1

  2. Julian Williams

    Present address: Department of Mathematics and Computer Science, Adelphi University, 11530, Garden City, L.I., New York, USA

Authors and Affiliations

    Authors
    1. Wolfgang Kimmerle
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Julian Williams
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Partially supported by the Deutsche Forschungsgemeinschaft.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Kimmerle, W., Williams, J. On minimal relation modules and 1-cohomology of finite groups. Arch. Math 42, 214–223 (1984). https://doi.org/10.1007/BF01191178

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01191178

    Keywords

    Search

    Navigation