The growth rates for pure Artin groups of dihedral type

نویسنده

  • Michihiko Fujii
چکیده

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. 2010 Mathematics Subject Classification: Primary 20F36, 20F05, 20F65, 26A12; Secondary 68R15, 11R06.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2014