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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.06945 |
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| _version_ | 1866913780921794560 |
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| author | Josuat-Vergès, Matthieu |
| author_facet | Josuat-Vergès, Matthieu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06945 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphisms of the generalized cluster complex Josuat-Vergès, Matthieu Combinatorics 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. |
| title | Automorphisms of the generalized cluster complex |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2404.06945 |