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On a theorem of Artin. II.
- Source :
-
Journal of Group Theory . Nov2006, Vol. 9 Issue 6, p731-751. 21p. 1 Diagram, 2 Charts. - Publication Year :
- 2006
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOMOMORPHISMS
*MATHEMATICAL functions
*ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 9
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 23962011
- Full Text :
- https://doi.org/10.1515/JGT.2006.047