Automorphisms of Coxeter groups

Mathematics – Group Theory

Scientific paper

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

Scientific paper

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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