paper

Automorphisms of Coxeter groups

arXiv:math/0310127

Abstract

We compute Aut(W) for any even Coxeter group whose Coxeter diagram is connected, contains no edges labeled 2, and cannot be separated into more than 2 connected components by removing a single vertex. The description is given explicitly in terms of the given presentation for the Coxeter group and admits an easy characterization of those groups W for which Out(W) is finite.

16 pages, no figures. Submitted to Trans. Amer. Math. Soc

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Automorphisms of Coxeter groups · wovepaper