Skip to main content
Log in

On the vertices of modules in the Auslander-Reiten quiver ofp-groups

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Auslander, M., Reiten, I.: Representation theory of Artin algebras. III. Almost split sequences, Comun. Algebra3, 239–294 (1975)

    MATH  MathSciNet  Google Scholar 

  2. Benson, D., Parker, R.A.: The Green ring of a finite group. J. Algebra87, 290–331 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  3. Benson, D.: Modular representation theory: new trends and methods. (Lect. Notes Math., Vol. 1081) Berlin Heidelberg New York: Springer 1984

    MATH  Google Scholar 

  4. Butler, M.C.R., Ringel, C.M.: Auslander-Reiten sequences with few middle terms and applications to string algebras. Commun. Algebra15, 145–181 (1987)

    MATH  MathSciNet  Google Scholar 

  5. Butler, M.C.R., Shazamanian, M.: The construction of almost split sequences. III. Modules over two classes of tame local algebras, Math. Ann.247, 111–122 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  6. Conlon, S.B.: Twisted group algebras and their representations. J. Austr. Math. Soc.4, 152–173 (1964)

    Article  MATH  MathSciNet  Google Scholar 

  7. Erdmann, K.: On modules with cyclic vertices in the Auslander-Reiten quiver, J. Algebra104, 289–300 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  8. Feit, W.: The representation theory of finite groups. Amsterdam New York Oxford: North Holland 1982

    MATH  Google Scholar 

  9. Gabriel, P.: Auslander-Reiten sequences and representation-finite algebras. (Lect. Notes Math. vol. 831, pp. 1–711 Berlin Heidelberg New York: Springer 1980

    Google Scholar 

  10. Gabriel, P., Riedtmann, C.: Group representations without groups Comment. Math. Helv.54, 240–287 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  11. Huppert, B., Blackburn, N.: Finite groups II. Grundlehren der mathematischen Wissenschaften, Bd. 242) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  12. Ringel, C.M.: The indecomposable representations of the dihedral 2-groups. Math. Ann.214, 19–34 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  13. Webb, P.: The Auslander-Reiten quiver of a finite group. Math. Z.179, 97–121 (1982)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to B. Huppert on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Erdmann, K. On the vertices of modules in the Auslander-Reiten quiver ofp-groups. Math Z 203, 321–334 (1990). https://doi.org/10.1007/BF02570740

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02570740

Keywords

Navigation