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Finitely presented subgroups of three-manifold groups

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References

  1. Epstein, D. B. A.: Projective planes in 3-manifolds. Proc. London Math. Soc.11 (3) 469–484 (1960).

    Google Scholar 

  2. —: Curves on 2-manifolds and isotopies. Acta Math.115, 83–107 (1966).

    Google Scholar 

  3. Feustel, C. D.: Some applications of Waldhausen's results on irreducible surfaces. Trans. Amer. Math. Soc.149, 575–583 (1970).

    Google Scholar 

  4. Heil, W.: On the existence of incompressible surfaces in certain 3-manifold II. Proc. Amer. Math. Soc.25, 429–432 (1970).

    Google Scholar 

  5. —: OnP 2-irreducible 3-manifolds. Bulletin Amer. Math. Soc.75, 772–775 (1969).

    Google Scholar 

  6. Higman, G.: Subgroups of finitely presented groups. Proc. Royal Soc. A.262, 445–475 (1961).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  9. —: A finitely presented group whose 3-dimensional integral homology is not finitely generated. Amer. J. Math.85, 541–543 (1963).

    Google Scholar 

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

    Google Scholar 

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  1. The Institute for Advanced Study, 08540, Princeton, New Jersey, USA

    William Jaco

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  1. William Jaco
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Jaco, W. Finitely presented subgroups of three-manifold groups. Invent Math 13, 335–346 (1971). https://doi.org/10.1007/BF01406083

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