Automorphisms of the generalized cluster complex
Combinatorics
2025-04-09 v1
Abstract
It is proved that the generalized cluster complex defined by Fomin and Reading has a dihedral symmetry. Together with diagram symmetries, they generate its automorphism group. A consequence is a simple explicit formula for the order of this automorphism group.
Cite
@article{arxiv.2404.06945,
title = {Automorphisms of the generalized cluster complex},
author = {Matthieu Josuat-Vergès},
journal= {arXiv preprint arXiv:2404.06945},
year = {2025}
}