arXiv:math/0310127 [math.GR]AbstractReferencesReviewsResources
Automorphisms of Coxeter groups
Published 2003-10-09Version 1
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.
Comments: 16 pages, no figures. Submitted to Trans. Amer. Math. Soc
Categories: math.GR
Related articles: Most relevant | Search more
arXiv:2410.22599 [math.GR] (Published 2024-10-29)
Ultra-Low elements and Join Irreducible gates in Coxeter groups
arXiv:2109.01473 [math.GR] (Published 2021-09-03)
On the Left Connected Subalgebra of the Descent Algebra of a Coxeter Group of Classical Type
arXiv:0910.4997 [math.GR] (Published 2009-10-26)
On the rank of Coxeter groups