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.
Authors
- Matthieu Josuat-Vergès (ORCID: https://orcid.org/0000-0002-7782-2171)
Publication Details
- Journal
- American Journal of Combinatorics
- Published
- 2025-04-07
- DOI
- https://doi.org/10.63151/amjc.v4i.29
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche