We consider the kernel of the natural projection from the Artin group of dihedral type 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 with respect to a natural generating set.
Cite this article
Michihiko Fujii, The Spherical Growth Series for Pure Artin Groups of Dihedral Type. Publ. Res. Inst. Math. Sci. 49 (2013), no. 3, pp. 497–530DOI 10.4171/PRIMS/111