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THE KNOT GROUP AND THE FUNDAMENTAL GROUP OF THE EMBEDDING 3-MANIFOLD

Departamento de Matemática and Centro de Matemática e Aplicações, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Temporary address/email: IMPA, Estrada D. Castorina 110, 22460-320 RJ, Brazil.

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and

C. A. MORALES

Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68530, 21945-970, RJ, Brazil

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https://doi.org/10.1142/S0218216505003828Cited by:0 (Source: Crossref)

Abstract

We propose a conjecture concerning 3-manifolds (which implies the ℚ conjecture of Myers') and construct a countable sequence of examples which supports it.

Keywords:

AMSC: 57N10, 57M05

References

J. Birman , Braids, Links, and Mapping Class Groups , Annals of Mathematics Studies, No. 82 ( Princeton University Press , 1974 ) . Google Scholar
B. Evans and W. Jaco, Topology 12, 83 (1973). Crossref, Web of Science, Google Scholar
J. Hempel , 3-Manifolds , Annals of Mathematics Studies, No. 86 ( Princeton University Press , 1976 ) . Google Scholar
I. Kaplansky , Infinite Abelian Groups ( The University of Michigan Press , Ann Arbor, Mich. , 1969 ) . Google Scholar
R. Myers, Proc. Amer. Math. Soc. 28(5), 1507 (2000). Crossref, Web of Science, Google Scholar