Skip to main content
Log in

Peripheral structure of 3-manifolds

  • Published:
Inventiones mathematicae Aims and scope

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. Baumslag, B.: Intersections of finitely generated subgroups in free products. J. London Math. Soc.41, 673–679 (1966)

    Google Scholar 

  2. Epstein, D.B.A.: Curves on 2-manifolds and isotopies. Acta Math.115, 83–107 (1966)

    Google Scholar 

  3. Evans, B.: The conjugacy problem for boundary loops in 3-manifolds. Preprint

  4. Greenberg, L.: Discrete groups of motions. Canadian J. Math.12, 415–426 (1960)

    Google Scholar 

  5. Jaco, W.: Finitely presented subgroups of three-manifold groups. Inventiones math.13, 335–346 (1971)

    Google Scholar 

  6. Jaco, W.:Roots, relations and centralizers in three-manifold groups. In: Geometric topology (L. C. Glaser and T. B. Rushing, Eds.), pp. 283–310. Lecture Notes in Math. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

  7. Jaco, W.: The structure of three-manifold groups (mimeographed notes). The Institue for Advanced Study, Princeton, N.J. (1972)

    Google Scholar 

  8. Jaco, W., Miller, C.F., III: Finiteness conditions in three-manifold groups. (mimeographed notes). The Institute for Advanced Study, Princeton, N.J. (1972)

    Google Scholar 

  9. Jaco, W., Shalen, P. B.: Surface homeomorphisms and periodicity. To appear

  10. Jaco, W., Shalen, P. B.: Seifert fibered spaces in irreducible, sufficiently-large 3-manifolds, I: The main theorem. Preprint.

  11. Jaco, W., Shalen, P. B.: Seifert fibered spaces in irreducible sufficiently-large 3-manifolds, II: Applications. Preprint.

  12. Johannson, K.: Equivalences d'homotopie des variétes de dimension 3. C. R. Acad. Sc. Paris66, 1009–1010 (1975)

    Google Scholar 

  13. Kneser, H.: Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten. Jahr. Deut. Mathe. Vere.38, 248–260 (1929)

    Google Scholar 

  14. Magnus, W., Karrass, A., Solitar, D.: Combinatorial group theory. New York: Interscience 1966

    Google Scholar 

  15. Neumann, B. H.: Some remarks on infinite groups. J. London Math. Soc.12, 120–127 (1937)

    Google Scholar 

  16. Scott, G. P.: Finitely generated 3-manifold groups are finitely presented. J. London Math. Soc.2, 437–440 (1973)

    Google Scholar 

  17. Shalen, P. B.: Infinitely divisible elements in 3-manifold groups. In: Knots, groups and 3-manifolds: Papers dedicated to the memory of R.H. Fox (L. P. Neuwirth, Ed.). Annals of Math. Studies84, pp. 293–335. Princeton: Princeton University Press 1975

    Google Scholar 

  18. Simon, J.: Compactifying covering spaces of compact 3-manifolds. Preprint.

  19. Stallings, J.: On the loop theorem. Annals of Math.72, 12–19 (1960)

    Google Scholar 

  20. Stallings, J.: Homology and central series of groups. J. of Algebra2, 170–181 (1965)

    Google Scholar 

  21. Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Annals. of Math.87, 56–88 (1968)

    Google Scholar 

  22. Waldhausen, F.: Whitehead groups of generalized free products. Preliminary report (1969)

Download references

Author information

Authors and Affiliations

Authors

Additional information

The research of both authors is partially supported by NSF Grant MPS 71-03072

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jaco, W., Shalen, P.B. Peripheral structure of 3-manifolds. Invent Math 38, 55–87 (1976). https://doi.org/10.1007/BF01390169

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390169

Keywords

Navigation