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Knot modules and the Nakanishi index
Author(s):
C.
Kearton;
S.
M. J.
Wilson
Journal:
Proc. Amer. Math. Soc.
131
(2003),
655-663.
MSC (2000):
Primary 57M25;
Secondary 57Q45
Posted:
June 12, 2002
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Abstract:
We examine the structure of the knot module of  and show that the Nakanishi index of this knot is 2. The Nakanishi indices of  and  are also determined by means of the Fox-Smythe row class. Finally, we point out that the Nakanishi index is not additive over knot composition.
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Additional Information:
C.
Kearton
Affiliation:
Department of Mathematics, University of Durham, South Road, Durham DH1 3LE, England
Email:
Cherry.Kearton@durham.ac.uk
S.
M. J.
Wilson
Affiliation:
Department of Mathematics, University of Durham, South Road, Durham DH1 3LE, England
Email:
S.M.J.Wilson@durham.ac.uk
DOI:
10.1090/S0002-9939-02-06582-6
PII:
S 0002-9939(02)06582-6
Keywords:
Knot module,
Nakanishi index,
Fox-Smythe,
row class
Received by editor(s):
May 21, 2001
Received by editor(s) in revised form:
October 10, 2001
Posted:
June 12, 2002
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2002,
American Mathematical Society
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