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GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE

GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE

We consider the Artin groups of dihedral type I 2 (k) defined by the presentation A k = 〈a,b | prod (a,b;k) = prod (b,a;k)〉 where prod (s,t;k) = ststs …, with k terms in the product on the right-hand side. We prove that the spherical growth series and the …