Angle-deformations in Coxeter groups
Group Theory
2014-10-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0810.3392,
title = {Angle-deformations in Coxeter groups},
author = {Timothée Marquis and Bernhard Mühlherr},
journal= {arXiv preprint arXiv:0810.3392},
year = {2014}
}
Comments
23 pages, 6 figures, submitted to AGT