April 10, 2024Open Access

Automorphisms of the generalized cluster complex

MJMatthieu Josuat-VergèsCentre National de la Recherche Scientifique

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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.

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Matthieu Josuat-Vergès (Wed,) studied this question.

synapsesocial.com/papers/68e6fb8ab6db643587675d60 https://doi.org/https://doi.org/10.48550/arxiv.2404.06945

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