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The higher lower central series

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Abstract

The Baer invariants Γ n (G) of a group are central extensions of the elementsγ n (G) of the lower central series. We show that the inclusionsγ n +1 ⊂γ n can be lifted to functor morphisms Γ n+1→Γ n and a canonical Lie algebra, analogous to Lazard’s Lie algebra, can be constructed which is explicitly computable. This is applied in various ways.

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Authors and Affiliations

  1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    Shmuel Rosset

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  1. Shmuel Rosset
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Rosset, S. The higher lower central series. Israel J. Math. 73, 257–279 (1991). https://doi.org/10.1007/BF02773840

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  • DOI: https://doi.org/10.1007/BF02773840

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