Skip to main content
SpringerLink
Log in

Algebras and quaternion defect groups. I

  • Published:
Mathematische Annalen 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. Auslander, M., Reiten, I.: Representation theory of Artin algebras, III: Almost split sequences. Commun. Algebra3, 239–294 (1975)

    Google Scholar 

  2. Benson, D.J.: Modular representation theory: new trends and methods. (Lecture Notes in Mathematics, Vol. 1081). Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  3. Bondarenko, V.M., Drozd, J.A.: The representation type of finite groups. Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova71, 24–71 (1977)

    Google Scholar 

  4. Bongartz, K.: Zykellose Algebren sind nicht zügellos. Representation theory, II. (Lecture Notes in Mathematics, Vol. 832, Proceedings of the ICRA II). Berlin Heidelberg New York: Springer 1980

    Google Scholar 

  5. Crawley-Boevey, W.W.: On tame algebras and BOCS's. Preprint 1987. To appeart in Proc. LMS

  6. Donovan, P.W.: Dihedral defect groups. J. Algebra56, 184–206 (1979)

    Google Scholar 

  7. Erdmann, K.: Principal blocks of groups with dihedral Sylow 2-subgroups. Commun. Algebra5, 665–649 (1977)

    Google Scholar 

  8. Erdmann, K.: Algebras and dihedral defect groups. Proc. Lond. Math. Soc.54, 88–114 (1987)

    Google Scholar 

  9. Erdmann, K.: Algebras and semidihedral defect groups, I, II. I. To appear in Proc. Lond. Math. Soc.; II. Provisionally accepted for publication in Proc. Lond. Math. Soc.

  10. Erdmann, K.: On the number of simple modules in certain tame blocks and algebras. Arch. Math. (in press)

  11. Gabriel, P.: Auslander-Reiten sequences and representation-finite algebras. (Lecture Notes in Mathematics, Vol. 831, pp. 1–71). Berlin Heidelberg New York: Springer 1980

    Google Scholar 

  12. Külshammer, B., Puig, L.: Extensions of nilpotent blocks. Preprint 1986

  13. Nehring, J., Skowroński, A.: Polynomial growth trivial extensions of simply connected algebras. Preprint 1987

  14. Olsson, J.B.: On 2-blocks with quaternion and quasidihedral defect groups. J. Algebra36, 212–241 (1975)

    Google Scholar 

  15. Pierce, R.S.: Associative algebras. Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  16. Ringel, C.M.: The representation type of local algebras. (Lecture Notes, in Mathematics, Vol. 488, pp. 282–305, Proceedings ICRA 1974). Berlin Heidelberg New York: Springer 1975

    Google Scholar 

  17. Ringel, C.M.: Tame algebras. Representation theory I, (Lecture Notes in Mathematics, Vol. 831, pp. 137–287). Berlin Heidelberg New York: Springer 1980

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, University of Oxford, 24-29 St. Giles, OX1 3LB, Oxford, UK

    Karin Erdmann

Authors
  1. Karin Erdmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Erdmann, K. Algebras and quaternion defect groups. I. Math. Ann. 281, 545–560 (1988). https://doi.org/10.1007/BF01456838

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456838

Keywords

Search

Navigation