The Tutte Polynomial of Complex Reflection Groups
DOI:
https://doi.org/10.11575/cdm.v16i3.70415Abstract
The story ”Tutte Polynomial of Reflection Group” begins in 2007 when Ardila computed the Tutte polynomials of the hyperplane arrangements associated to the symmetric groups Sym(n), and to the imprimitive groups $G(2,1,n)$ and $G(2,2,n)$. One year later, De Concini and Procesi computed the Tutte polynomials associated to the primitive groups $G28,G35,G36,G37$, as well as Geldon in 2009. Then, we computed those associated to the imprimitive groups $G(m,p,n)$ in 2017. This article aims to close the chapter on the complex reflection groups by computing the Tutte polynomials associated to the primitive groups $G4,...,G27,G29,...,G34$.
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