The Spherical Growth Series for Pure Artin Groups of Dihedral Type
The Spherical Growth Series for Pure Artin Groups of Dihedral Type
We consider the kernel of the natural projection from the Artin group of dihedral type I_2(k) to the corresponding Coxeter group, which we call the pure Artin group of dihedral type. We present a rational function expression for the spherical growth series of the pure Artin group of dihedral type …