Automorphisms of the generalized cluster complex

We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex. A consequence is a simple explicit formula for the order of this automorphism group.

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Bibliographic Details
Main Author: Matthieu Josuat-Vergès
Format: Article
Language:English
Published: American Journal of Combinatorics 2025-04-01
Series:The American Journal of Combinatorics
Subjects:
Online Access:https://ajcombinatorics.org/ojs/index.php/AmJC/article/view/29
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