Mathematics – Group Theory
Scientific paper
2012-02-29
Mathematics
Group Theory
11 pages, 4 figures
Scientific paper
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups these automorphism groups are discrete. In the case where they are discrete, we express them as semidirect products of two obvious families of automorphisms. This extends a result of Haglund and Paulin.
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