Volume: 10, Supplementary Issue 1(2008)
pp. 843-847 DOI: 10.1142/S0219199708003058
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Full Text (PDF, 122KB)
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| Title: |
THE 2-GENERALIZED KNOT GROUP DETERMINES THE KNOT |
| Author(s): |
SAM NELSON
Department of Mathematics, Pomona College, 610 N. College Avenue, Claremont, CA 91711, USAWALTER D. NEUMANN
Department of Mathematics, Barnard College, Columbia University, New York, NY 10027, USA
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| Dedication: |
To the memory of Xiao-Song Lin |
| History: |
Received 4 April 2008
Revised 6 April 2008
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| Abstract: |
Generalized knot groups Gn(K) were introduced independently by Kelly [5] and Wada [10]. We prove that G2(K) determines the unoriented knot type and sketch a proof of the same for Gn(K) for n > 2. |
| Keywords: |
Generalized knot group; quandle; rack; JSJ
AMSC numbers:
57M25
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