Ealy's conjecture in odd characteristic
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915640177065984 |
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| author | Feng, Tao Thas, Koen |
| author_facet | Feng, Tao Thas, Koen |
| contents | We solve Ealy's conjecture from 1977 by showing that for each odd prime $p$, a finite generalized quadrangle each point of which admits a central symmetry of order $p$, is either a classical symplectic quadrangle in dimension $3$, or a Hermitian quadrangle in dimension $3$ or $4$. As a byproduct, we vastly generalize the aforementioned result by determining the finite generalized quadrangles whose every point admits at least one nontrivial central symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21791 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ealy's conjecture in odd characteristic Feng, Tao Thas, Koen Combinatorics We solve Ealy's conjecture from 1977 by showing that for each odd prime $p$, a finite generalized quadrangle each point of which admits a central symmetry of order $p$, is either a classical symplectic quadrangle in dimension $3$, or a Hermitian quadrangle in dimension $3$ or $4$. As a byproduct, we vastly generalize the aforementioned result by determining the finite generalized quadrangles whose every point admits at least one nontrivial central symmetry. |
| title | Ealy's conjecture in odd characteristic |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2511.21791 |