Skip to main content
SpringerLink
Log in

Trees, valuations, and the Bieri-Neumann-Strebel invariant

  • Published:
Inventiones mathematicae Aims and scope

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. Alperin, R., Bass, H.: Length functions of group actions on Λ-trees. Gersten, S.M., Stallings, J.R. (eds.). Combinatorial group theory and topology. Ann. Math. Stud.111 (1986)

  2. Bergman, G.M.: A weak Nullstellensatz for valuations. Proc. Am. Math. Soc.28, 32–38 (1971)

    Google Scholar 

  3. Bieri, R., Groves, J.R.J.: The geometry of the set of characters induced by valuations. J. Reine Angew. Math.347, 168–195 (1984)

    Google Scholar 

  4. Bieri, R., Strebel, R.: Almost finitely presented soluble groups. Comment. Math. Helv.53, 258–278 (1978)

    Google Scholar 

  5. Bieri, R., Strebel, R.: Valuations and finitely presented metabelian groups. Proc. Lond. Math. Soc. (3)41, 439–464 (1980)

    Google Scholar 

  6. Bieri, R., Strebel, R.: A geometric invariant for modules over an abelian group, J. Reine Angew. Math.322, 170–189 (1981)

    Google Scholar 

  7. Bieri, R., Neumann, W.D., Strebel, R.: A geometric invariant of discrete groups. Invent. Math.90, 451–477 (1987)

    Google Scholar 

  8. Bourbaki, N.: Commutative algebra. Hermann (Paris) and Addison-Wesley (Reading) 1972

    Google Scholar 

  9. Brown, K.S.: Finiteness properties of groups. J. Pure Appl. Algebra44, 45–75 (1987)

    Google Scholar 

  10. Culler, M., Morgan, J.W.: Group actions onR-trees (preprint)

  11. Houghton, C.H.: The first cohomology of a group with permutation module coefficients. Arch. Math.31, 254–258 (1978/1979)

    Google Scholar 

  12. Lyndon, R.C., Schupp, P.E.: Combinatorial group theory. Berlin Heidelberg New York: Springer 1977

    Google Scholar 

  13. Magnus, W., Karrass, A., Solitar, D.: Combinatorial group theory. 2nd edition, New York: Dover 1976

    Google Scholar 

  14. Serre, J.-P.: Trees, Berlin Heidelberg New York: Springer 1980 (Translation of Arbres, amalgames, SL2, Astérisque 46 (1977))

    Google Scholar 

  15. Tits, J.: A “theorem of Lie-Kolchin” for trees. In: Contributions to algebra: A collection of papers dedicated to Ellis Kolchin, Academic Press, New York, 1977, pp. 377–388

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Cornell University, 14853, Ithaca, NY, USA

    Kenneth S. Brown

Authors
  1. Kenneth S. Brown
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by NSF grant DMS-8502278

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brown, K.S. Trees, valuations, and the Bieri-Neumann-Strebel invariant. Invent Math 90, 479–504 (1987). https://doi.org/10.1007/BF01389176

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389176

Search

Navigation