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On a theorem of Artin. II
-
Nuno Franco
und
Luis Paris
Veröffentlicht/Copyright:
12. Februar 2007
Abstract
This paper is a sequel to [A. M. Cohen and L. Paris. On a theorem of Artin. J. Group Theory6 (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.
Received: 2004-09-10
Revised: 2005-08-30
Published Online: 2007-02-12
Published in Print: 2006-11-28
© Walter de Gruyter
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Artikel in diesem Heft
- Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups
- On a theorem of Artin. II
- Cycle index methods for finite groups of orthogonal type in odd characteristic
- Characterization of injectors in finite soluble groups
- Some class size conditions implying solvability of finite groups
- On t-pure and almost pure exact sequences of LCA groups
- Translation equivalent elements in free groups
- On representing words in the automorphism group of the random graph
Artikel in diesem Heft
- Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups
- On a theorem of Artin. II
- Cycle index methods for finite groups of orthogonal type in odd characteristic
- Characterization of injectors in finite soluble groups
- Some class size conditions implying solvability of finite groups
- On t-pure and almost pure exact sequences of LCA groups
- Translation equivalent elements in free groups
- On representing words in the automorphism group of the random graph
