Angle-deformations in Coxeter groups

Details Angle-deformations in Coxeter groups Angle-deformations in Coxeter groups

2008-10-19

arxiv.org/abs/0810.3392v1

Mathematics

Group Theory

23 pages, 6 figures, submitted to AGT

Scientific paper

The isomorphism problem for Coxeter groups has been reduced to its 'reflection preserving version' by B. Howlett and the second author. Thus, in order to solve it, it suffices to determine for a given Coxeter system (W,R) all Coxeter generating sets S of W which are contained in R^W, the set of reflections of (W,R). In this paper, we provide a further reduction: it suffices to determine all Coxeter generating sets S in R^W which are sharp-angled with respect to R.

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