Addendum to "On Incompressible Surfaces in the Complements of Knots"

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Authors

  • Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay, 400 005 ,IN

Abstract

Incompressible surfaces in the complements of knots have also been constructed by Herbert Lyon [3]. His examples are different from ours: Lyon constructs them in the complements of Neuwirth knots. Some other papers which have appeared recently are related to the material of section 1 of [5] are [1] and [2]. We would like to add the following remarks to [5].

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Published

1974-12-01

How to Cite

Anand Swarup, G. (1974). Addendum to "On Incompressible Surfaces in the Complements of Knots". The Journal of the Indian Mathematical Society, 38(1-4), 411–413. Retrieved from http://www.informaticsjournals.com/index.php/jims/article/view/16719

 

References

W.H. HEIL: On subnormal subgroups of fundamental groups of certain 3-manifolds. Michigan Math. Journal, Vol. 18 (1971), 393-400.

W. JACO: Finitely presented subgroups of 3-manifold groups. Inv. Math. 13 (1971), 335-346.

H.C.LYON: "Incompressible Surfaces in knot Spaces", Trans. A.M.S. (1971).

J.P. SERRE: "Groupes Discretes" To appear in Springer-Verlag Lecture Note Series.

G.A. SWARUP: "On incompressible surfaces in the complements of knots", Journal of Indian Math. Soc. 37 (1973), 9-24.

G.A. SWARUP: "Finding incompressible surfaces in 3-manifolds" Journal of Lond. Math. Soc. 6 (1973), 444-52.