JournalsprimsVol. 49, No. 3pp. 497–530

The Spherical Growth Series for Pure Artin Groups of Dihedral Type

  • Michihiko Fujii

    Kyoto University, Japan
The Spherical Growth Series for Pure Artin Groups of Dihedral Type cover
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Abstract

We consider the kernel of the natural projection from the Artin group of dihedral type I2(k)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 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. 497–530

DOI 10.4171/PRIMS/111