The Spherical Growth Series for Pure Artin Groups of Dihedral Type | Zendy

Michihiko Fujii | Zendy

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The Spherical Growth Series for Pure Artin Groups of Dihedral Type

Author(s) -

Michihiko Fujii

Publication year - 2013

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.4171/prims/111

Subject(s) - mathematics , series (stratigraphy) , type (biology) , dihedral angle , dihedral group , pure mathematics , group (periodic table) , chemistry , geology , paleontology , hydrogen bond , organic chemistry , molecule

We consider the kernel of the natural projection from the Artin group of dihedral type I2(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

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