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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 geodesic growth series of A k with respect to the Artin generators {a, b, a −1 , b −1 } are… (More)

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