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Automorphisms of Coxeter groups

Patrick Bahls
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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.

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Patrick Bahls. 2003-10-09. Automorphisms of Coxeter groups. https://arxiv.org/abs/math/0310127

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