The determination of the Lie algebra associated to the lower central series of a group

Labute, John P.

doi:10.1090/S0002-9947-1985-0773046-8

The determination of the Lie algebra associated to the lower central series of a group
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by John P. Labute

Trans. Amer. Math. Soc. 288 (1985), 51-57

DOI: https://doi.org/10.1090/S0002-9947-1985-0773046-8

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Abstract:

In this paper we determine the Lie algebra associated to the lower central series of a finitely presented group in the case where the defining relators satisfy certain independence conditions. Other central series, such as the lower $p$-central series, are treated as well.

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