Decompositions de groupes par produit direct et groupes de Coxeter

Details Decompositions de groupes par produit direct et groupes de Coxeter Decompositions de groupes par produit direct et groupes de Coxeter

2005-07-18

arxiv.org/abs/math/0507366v1

Geometric Group Theory, Trends in Math. 75-102, Birkh\~A?user 2007

Mathematics

Group Theory

23 pages, 0 figure

Scientific paper

We provide examples of groups which are indecomposable by direct product, and more generally which are uniquely decomposable in direct products of indecomposable groups. Examples include Coxeter groups, for which we give an alternative approach to recent results of L. Paris. For a finitely generated linear group Gamma, we establish an upper bound on the number of factors of which Gamma can be the direct product. If Gamma is moreover torsion-free, it follows that Gamma is uniquely decomposable in direct product of indecomposable groups.

Affiliated with

Also associated with

No associations

Rating

Decompositions de groupes par produit direct et groupes de Coxeter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Decompositions de groupes par produit direct et groupes de Coxeter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Decompositions de groupes par produit direct et groupes de Coxeter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188336