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Séminaire Lotharingien de Combinatoire, 84B.92 (2020), 12 pp.

# Carlos E. Arreche and Nathan F. Williams

# Normal Reflection Subgroups

**Abstract.**
We study normal reflection subgroups of complex reflection groups. Our point of view leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalized exponents. Our refinement gives a uniform proof and generalization of a recent theorem of the second author.

Received: November 20, 2019.
Accepted: February 20, 2020.
Final version: April 30, 2020.

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