Nuno Franco, Luis Paris
On a theorem of Artin. II
This paper is a sequel to [A. M. Cohen and L. Paris. On a theorem of Artin. J. Group Theory 6 (2003), 421–441.]. Let A be an Artin group, let W be its associated Coxeter group, and let CA be its associated coloured Artin group, that is, the kernel of the standard epimorphism μ : A → W. We determine the homomorphisms φ : A → W that satisfy Im φ · Z(W) = W, for A irreducible and of spherical type, and we prove that CA is a characteristic subgroup of A if A is of spherical type but not necessarily irreducible.
Journal of Group Theory, Walter de Gruyter
Print ISSN: 1433-5883
Volume: 9, 11/2006
Pages: 731 - 751
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