Skip to main content
Log in

A homological finiteness criterion

  • 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. Bass, H.: Lectures on topics in algebraicK-theory. Bombay: Tata Institute of Fundamental Research 1967

    Google Scholar 

  2. Bieri, R.: On groups of finite cohomological dimension and duality groups over a ring. J. pure appl. Algebra6, 83–109 (1975)

    Google Scholar 

  3. Bieri, R.: Normal subgroups in duality groups and in groups of cohomological dimension 2. J. pure appl. Algebra7, 35–51 (1976)

    Google Scholar 

  4. Bieri, R., Eckmann, B.: Groups with homological duality generalizing Poincaré duality. Inventiones math.20, 103–124 (1973)

    Google Scholar 

  5. Bieri, R., Eckmann, B.: Finiteness properties of duality groups. Commentarii math. Helvet.49, 74–83 (1974)

    Google Scholar 

  6. Brown, K.S.: Homological criteria for finiteness. Commentarii math. Helvet.50, 129–135 (1975)

    Google Scholar 

  7. Connell, I.G.: On the group ring. Canadian J. Math.15, 650–685 (1963)

    Google Scholar 

  8. Hilton, P.J., Stammbach, U.: A course in homological algebra. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  9. Johnson, F.E.A., Wall, C.T.C.: On groups satisfying Poincaré duality. Ann. of Math., II. Ser.96, 592–598 (1972)

    Google Scholar 

  10. Lenzing, H.: Endlich präsentierbare Moduln. Arch. der Math.20, 262–266 (1969)

    Google Scholar 

  11. Mac Lane, S.: Homology. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  12. Robinson, D.J.S.: On the cohomology of soluble groups of finite rank. J. pure appl. Algebra6, 155–164 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Strebel, R. A homological finiteness criterion. Math Z 151, 263–275 (1976). https://doi.org/10.1007/BF01214939

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214939

Navigation