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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Lie algebra associated to the lower central series of a link group and Murasugi's conjecture


Author: John P. Labute
Journal: Proc. Amer. Math. Soc. 109 (1990), 951-956
MSC: Primary 20F40; Secondary 57M25
MathSciNet review: 1013973
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Abstract: The Chen-Milnor presentation can be used to determine the Lie Algebra associated to the lower central series of the fundamental group of a link in the $ 3$-sphere $ {S^3}$ in many interesting cases. We use this fact to obtain new and simpler proofs of unpublished results of Maeda on a conjecture of Murasugi in the sharpened form of Massey and Traldi.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1013973-7
PII: S 0002-9939(1990)1013973-7
Article copyright: © Copyright 1990 American Mathematical Society