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NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS
Journal of the Institute of Mathematics of Jussieu  (IF1.522),  Pub Date : 2021-07-21, DOI: 10.1017/s1474748021000323
Carlos E. Arreche, Nathan F. Williams

We study normal reflection subgroups of complex reflection groups. Our approach 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 generalised exponents. Our refinement gives a uniform proof and generalisation of a recent theorem of the second author.