Automorphisms of the generalized cluster complex
DOI:
https://doi.org/10.63151/amjc.v4i.29Keywords:
Cluster complex, Finite Coxeter group, Automorphism group, Dihedral group, SymmetryAbstract
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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2025-04-07
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Copyright (c) 2025 Matthieu Josuat-Verg`es

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