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Baumslag, G.: Groups with the same lower central sequence as a relatively free group. II. Properties. Trans. Am. Math. Soc.142, 507–538 (1969)
Brauner, K.: Zur Geometrie der Funktionen zweier komplexer Veränderlichen. Abh. Math. Sem. Univ. Hambrug6, 1–54 (1928)
Cockcroft, W.H.: On two-dimensional aspherical complexes. Proc. London Math. Soc.4, 375–384 (1954)
Cockcroft, W.H., Swan, R.G.: On the homotopy type of certain two-dimensional complexes. Proc. London Math. Soc.11, 193–202 (1961)
Crowell, R.H.: The groupG′/G″ of a knot groupG. Duke Math. J.30, 349–354 (1963)
Fox, R.H.: Some problems in knot theory. In: Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Inst. 1961), pp. 169–176. Englewood Cliffs: Prentice-Hall 1962
Gerstenhaber, M., Rothaus, O.S.: The solution of sets of equations in groups. Proc. Nat. Acad. Sci.48, 1531–1533 (1962)
Levine, J.: Knot cobordism groups in codimension two. Comment. Math. Helv.44, 229–244 (1969)
Levine, J.: Invariants of knot cobordism. Invent. Math.8, 98–110, 355 (1969j
Litherland, R.A.: Signatures of iterated torus knots. In: Topology of low-dimensional manifolds (Proc. Second Sussex Conf., 1977), pp. 71–84. Lecture Notes in Mathematics, Vol. 722. Berlin, Heidelberg, New York: Springer 1979
Magnus, W., Karrass, A., Solitar, D.: Combinatorial group theory. New York: Dover 1976
Mal'cev, A.I.: Generalized nilpotent groups and their adjoint groups. Matt. USSR Sb.25, 347–366 (1949) (Russian), AMS Transl. (series 2)69, 1–21 (1968)
Matumoto, T.: On the signature invariants of a non-singular complex sesquilinear form. J. Math. Soc. Japan29, 67–71 (1977)
Mayland, E.J., Jr.: Two-bridge knots have residually finite groups. Proc. Second Internat. Conf. Theory of Groups, Canberra, 1973, pp. 488–493. In: Lecture Notes in Mathematics, Vol. 372. Berlin, Heidelberg, New York: Springer 1974
Milnor, J.: Infinite cyclic coverings. In: Conference on the topology of manifolds, pp. 115–133. Boston: Prindle, Weber, and Schmidt 1968
Neuwirth, L.: Knot groups. Ann. Math. Stud.56 (1965)
Rourke, C.P.: Embedded handle theory, concordance, and isotopy. Topology of Manifolds (Proc. The Univ. of Georgia Inst. 1969), pp. 431–438. Chicago: Markham 1970
Rudolph, L.: Non-trivial positive braids have positive signature. Columbia University. 1980 (preprint)
Scharlemann, M.: The fundamental group of fibered knot cobordisms. Math. Ann.255, 243–251 (1977)
Stallings, J.: Homology and central series of groups. J. Algebra2, 170–181 (1965)
Strebel, R.: A note on groups with torsion-free abelianization and trivial multiplicator. Comment. Math. Helv.54, 147–158 (1979)
Thurston, W.P.: The geometry and topology of 3-manifolds. Lecture Notes, Princeton University
Tristram, A.G.: Some cobordism invariants for links. Proc. Cambridge Philos. Soc.66, 251–264 (1969)
Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. Math.87, 56–88 (1968)
Waldhausen, F.: AlgebraicK-theory of generalized free products, Part 2. Ann. Math.108, 205–256 (1978)
Whitehead, J.H.C.: On adding relations to homotopy groups. Ann. Math.42, 409–428 (1941)
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Partially supported by NSF Grant MCS 78-02995 and an Alfred P. Sloan Research Fellowship
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Gordon, C.M. Ribbon concordance of knots in the 3-sphere. Math. Ann. 257, 157–170 (1981). https://doi.org/10.1007/BF01458281
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DOI: https://doi.org/10.1007/BF01458281