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.
The following versions are available: