Skip to main content
SpringerLink
Log in

A Sylowlike theorem for integral group rings of finite solvable 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. S. D.Bermann, On a necessary condition for isomorphism of integral group rings. Dopovidi Akad. Nauk Ukrain. RSR, Ser. A, 313–316 (1953), MR 15,599.

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

  3. B.Huppert and N.Blackburn, Finite Groups. II. Berlin-Heidelberg-New York 1982.

  4. B.Huppert and N.Blackburn, Finite Groups. III. Berlin-Heidelberg-New York 1982.

  5. W. Kimmerle, Zum Isomorphieproblem ganzzahliger Gruppenringe. Sylow- und Jordan Hölder Theorie. Bayreuth. Math. Schr.33, 91–107 (1990).

    Google Scholar 

  6. D. S. Passman, Isomorphic groups and group rings. Pacific J. Math.15, 561–583 (1965).

    Google Scholar 

  7. K. W. Roggenkamp andL. L. Scott, Isomorphisms ofp-adic group rings. Ann. of Math. (2)126, 593–647 (1987).

    Google Scholar 

  8. K. W.Roggenkamp and L. L.Scott, On a conjecture on group rings by H. Zassenhaus. Manuscript 1987.

  9. K. W.Roggenkamp and L. L.Scott, A strong answer to the isomorphism problem for finitep-solvable groups with a normalp-subgroup containing its centralizer. Manuscript 1987.

  10. R. Sandling, The isomorphism problem for group rings: a survey. LNM1142, 239–255, Berlin-Heidelberg-New York 1985.

    Google Scholar 

  11. S. K.Serhgal, Torsion units in integral group rings. Proc. Nato Institut on methods in ring theory, 497–504. Antwerpen-Dordrecht 1983.

  12. H.Zassenhaus, On the torsion units of finite group rings. In: Estados de matematica em homenagem ao Prof. A. Almeida Costa, 119–126. Lisbon 1974.

Download references

Author information

Author notes

  1. W. Kimmerle & K. W. Roggenkamp

    Present address: Mathematisches Institut B, Universität Stuttgart, Pfaffenwaldring 57, DW-7000, Stuttgart 80

Authors and Affiliations

    Authors
    1. W. Kimmerle
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. K. W. Roggenkamp
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    The second author was partially supported by the DFG.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Kimmerle, W., Roggenkamp, K.W. A Sylowlike theorem for integral group rings of finite solvable groups. Arch. Math 60, 1–6 (1993). https://doi.org/10.1007/BF01194231

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01194231

    Keywords

    Search

    Navigation