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

Labute, John P.

doi:10.1090/S0002-9939-1990-1013973-7

The Lie algebra associated to the lower central series of a link group and Murasugi’s conjecture
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Proc. Amer. Math. Soc. 109 (1990), 951-956 Request permission

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 We use this fact to obtain new and simpler proofs of unpublished results of Maeda on a conjecture of Murasugi in the sharpened form of Massey and Traldi.

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Lower central series of link groups

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