Abstract:Following Lazard, we study the N-series of a group G and their associated graded Lie algebras. The main examples we consider are the lower central series and Stallings' rational and mod-p versions of this series. Building on the work of Massuyeau and Guaschi-Pereiro, we describe these N-series and Lie algebras in the case when G splits as a semidirect product, in terms of the relevant data for the factors and the monodromy action. As applications, we recover a well-known theorem of Falk-Randell regarding split… Show more
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