# Centralizers of Lie Algebras Associated to the Descending Central Series of Certain Poly-Free Groups

@article{Cohen2006CentralizersOL, title={Centralizers of Lie Algebras Associated to the Descending Central Series of Certain Poly-Free Groups}, author={Daniel C. Cohen and Frederick R. Cohen and Stratos Prassidis}, journal={arXiv: Group Theory}, year={2006} }

Poly-free groups are constructed as iterated semidirect products of free groups. The class of poly-free groups includes the classical pure braid groups, fundamental groups of fiber-type hyperplane arrangements, and certain subgroups of the automorphism groups of free groups. The purpose of this article is to compute centralizers of certain natural Lie subalgebras of the Lie algebra obtained from the descending central series of poly-free groups G including some of the geometrically interesting…

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