Derangements in affine classical groups and Cohen-Lenstra heuristics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912657302355968 |
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| author | Fulman, Jason Stanton, Dennis |
| author_facet | Fulman, Jason Stanton, Dennis |
| contents | We observe that Anzanello's work on the proportion of derangements in affine classical groups over finite fields is related to symplectic and orthogonal Cohen-Lenstra type distributions on integer partitions. This leads to a proof of three q-polynomial identities conjectured by Anzanello, which were crucial for her work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derangements in affine classical groups and Cohen-Lenstra heuristics Fulman, Jason Stanton, Dennis Combinatorics Group Theory Number Theory We observe that Anzanello's work on the proportion of derangements in affine classical groups over finite fields is related to symplectic and orthogonal Cohen-Lenstra type distributions on integer partitions. This leads to a proof of three q-polynomial identities conjectured by Anzanello, which were crucial for her work. |
| title | Derangements in affine classical groups and Cohen-Lenstra heuristics |
| topic | Combinatorics Group Theory Number Theory |
| url | https://arxiv.org/abs/2510.16277 |