Details

Autor(en) / Beteiligte

• Fujii, Michihiko

Titel

The growth rates for pure Artin groups of dihedral type

Ist Teil von

• European journal of combinatorics, 2014-08, Vol.40, p.108-115

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2014

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider the kernel of the natural projection from the Artin group of dihedral type I2(k) to the associated Coxeter group, which we call a pure Artin group of dihedral type and write PI2(k). We show that the growth rates for both the spherical growth series and geodesic growth series of PI2(k) with respect to a natural generating set are Pisot numbers.