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Mathematics PDF Available Non-peer-reviewed Preprint

Normal Reflection Subgroups

Carlos E. Arreche, Nathan Williams  ·  Published 2020-06-11

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.

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