Skip to main content
SpringerLink
Log in

Holonomy groups of Bieberbach groups with finite outer automorphism 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. D. J.Benson, Modular representation theory: New trends and methods. LNM1081, Berlin-Heidelberg-New York 1984.

  2. H. Brown, J. Neubüser andH. Zassenhaus, On integral groups, III: Normalizers. Math. Comp.27, 167–182 (1973).

    Google Scholar 

  3. H.Brown, R.Bülow, J.Neubüser, W.Wondratschek and H.Zassenhaus, Crystallographic groups of four-dimensional space. New York 1978.

  4. L. S.Charlap, Bieberbach groups and flat manifolds. Berlin-Heidelberg-New York 1986.

  5. J. H.Conway, R. T.Curtis, S. P.Norton, R. A.Parker and R. A.Wilson, Atlas of finite groups. London 1984.

  6. C. W.Curtis and I.Reiner, Methods of representation theory, Vol. II. New York 1987.

  7. B. Eckmann andG. Mislin, Rational representation of finite groups and their Euler class. Math. Ann.245, 45–54 (1979).

    Google Scholar 

  8. W. Feit, The computation of some Schur indices. Israel J. Math.46, 274–300 (1983).

    Google Scholar 

  9. H. Miller, Z. Marciniak, C. H. Sah andA. Szczepański, Holonomy of flat manifolds withb 1=0 II. Quart. J. Math. Oxford38, 213–220 (1987).

    Google Scholar 

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

  11. W. Katsushi, The Loewy structure of the projective representations of the Mathieu groups in characteristic 3. Comm. Algebra21, 1457–1485 (1993).

    Google Scholar 

  12. W. Plesken, Minimal dimensions for flat manifolds with prescribed holonomy. Math. Ann.284, 477–486 (1989).

    Google Scholar 

  13. H. L. Porteous, Anosov diffeomorphisms of flat manifolds. Topology11, 307–315 (1972).

    Google Scholar 

  14. G. J. A.Schneider, The socle series of the projective indecomposable modules of the Mathieu groupM 11 in characteristic 3. Private communication.

  15. M.Schönert et al., GAP-groups, algorithms, and programming. Aachen 1993.

  16. P.Symonds, Flat manifolds. Ph.D. thesis, Cambridge University 1987.

  17. A. Szczepański, Five dimensional Bieberbach groups with trivial centre. Manuscripta Math.68, 191–208 (1990).

    Google Scholar 

  18. A.Szczepański, Outer automorphisms groups of Bieberbach groups. Preprint 1993.

Download references

Author information

Author notes

  1. Gerhard Hiss

    Present address: IWR der Universität Heidelberg, Im Neuenheimer Feld 368, D-69120, Heidelberg

  2. Andrzej Szczepański

    Present address: Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952, Gdańsk, Poland

Authors and Affiliations

    Authors
    1. Gerhard Hiss
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Andrzej Szczepański
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    This work was supported by the DFG and by a Polish grant BW/5100-5-0116-3.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Hiss, G., Szczepański, A. Holonomy groups of Bieberbach groups with finite outer automorphism groups. Arch. Math 65, 8–14 (1995). https://doi.org/10.1007/BF01196572

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01196572

    Keywords

    Search

    Navigation