Article ID Journal Published Year Pages File Type
4653481 European Journal of Combinatorics 2014 8 Pages PDF
Abstract

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

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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The growth rates for pure Artin groups of dihedral type
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