Automorphisms of Right-Angled Coxeter Groups

If (𝑊,𝑆) is a right-angled Coxeter system, then Aut(𝑊) is a semidirect product of the group Aut∘(𝑊) of symmetric automorphisms by the automorphism group of a certain groupoid. We show that, under mild conditions, Aut∘(𝑊) is a semidirect product of Inn(𝑊) by the quotient Out∘(𝑊)=Aut∘(𝑊)/Inn(𝑊). We al...

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Bibliographic Details
Main Authors: Mauricio Gutierrez, Anton Kaul
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/976390
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