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On dihedral covering spaces of knots

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References

  1. Bankwitz, C., Schumann, H.G.: Über Viergeflechte. Abh. Math. Sem. Univ. Hamburg10, 263–284 (1934)

    Google Scholar 

  2. Burde, G.: On branched coverings ofS 3. Canad. J. Math.23, 84–89 (1971)

    Google Scholar 

  3. Burnside, W.S.: Theory of groups of finite order, Ch. XII. Cambridge: Cambridge Univ. Press 1897; 2d ed.: New York: Dover 1955

    Google Scholar 

  4. Cappell, S. E., Shaneson, J.L.: Invariants of 3-manifolds. Bull. Amer. Math. Soc.81, 559–562 (1975)

    Google Scholar 

  5. Cappell, S.E., Shaneson, J.L.: Cyclic branched covering spaces, Knots, groups and 3-manifolds. Papers dedicated to the memory of R. H. Fox (Ed.: L. P. Neuwirth). Ann. of Math. Studies84, pp. 165–173. Princeton: Princeton University Press 1975

    Google Scholar 

  6. Conway, J. H.: An enumeration of knots and links, and some of their algebraic properties. Computational problems in abstract algebra. Proc. Conf. Oxford, pp. 329–358, 1967. Oxford: Pergamon Press 1970 (Beware of duplications and omissions!)

    Google Scholar 

  7. Crowell, R. H., Fox, R. H.: Introduction to knot theory. Boston: Ginn and Co. 1963

    Google Scholar 

  8. Fox, R.H.: Metacyclic invariants of knots and links. Canad. J. Math.22, 193–201 (1970)

    Google Scholar 

  9. Hirzebruch, F., Neumann, W.D., Koh, S.S.: Differentiable manifolds and quadratic forms. New York: Dekker 1971

    Google Scholar 

  10. Montesinos, J.M.: Representaciones de enlaces en relacion con recubridores dobles ramificados. Collectanea Math.25, 145–157 (1974)

    Google Scholar 

  11. Murasugi, K.: On a certain numerical invariant of link types. Trans. Amer. Math. Soc.117, 387–422 (1965)

    Google Scholar 

  12. Perko, K.A., Jr.: On the classification of knots. Proc. Amer. Math. Soc.45, 262–266 (1974)

    Google Scholar 

  13. Perko, K.A., Jr.: On covering spaces of knots. Glasnik Mat.9, (29), 141–145 (1974).

    Google Scholar 

  14. Perko, K.A., Jr.: Octahedral knot covers, Knots, groups and 3-manifolds, Papers dedicated to the memory of R.H. Fox (Ed.: L.P. Neuwirth). Ann. of Math. Studies84, pp. 47–50. Princeton: Princeton University Press 1975

    Google Scholar 

  15. Reidemeister, K.: Knoten und Verkettungen Math. Z.29, 713–729 (1929). Cf. Hamb. Abh.5, 18–19 (1926) and40, 176 (1974)

    Google Scholar 

  16. Reidemeister, K.: Knotentheorie, Ergebnisse der Math. und ihrer Grenzgebiete 1, K. III, § 15. Berlin: Springer 1932 (reprinted 1974)

    Google Scholar 

  17. Reyner, S.W.: On metabelian and related invariants of knots. Princeton Ph.D. thesis, 1972

  18. Riley, R.: Homomorphisms of knot groups on finite groups. Math. Comp.25, 603–619 (1971)

    Google Scholar 

  19. Schubert, H.: Knoten mit zwei Brücken. Math. Z.65, 133–170 (1956)

    Google Scholar 

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    K. A. Perko Jr.

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Perko, K.A. On dihedral covering spaces of knots. Invent Math 34, 77–82 (1976). https://doi.org/10.1007/BF01425475

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