A classification of unitals in nearfield planes with maximal automorphism group
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915706204848128 |
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| author | Weaver, Randon J. Coulter, Robert S. Hui, Alice M. W. |
| author_facet | Weaver, Randon J. Coulter, Robert S. Hui, Alice M. W. |
| contents | We classify the parabolic unitals in regular nearfield planes of odd order $q^2$ whose linear collineation group has the maximal size of $q^3-q$. We also establish a number of more general results concerning parabolic unitals in regular nearfield planes under weaker assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A classification of unitals in nearfield planes with maximal automorphism group Weaver, Randon J. Coulter, Robert S. Hui, Alice M. W. Combinatorics 51E20, 51E14 We classify the parabolic unitals in regular nearfield planes of odd order $q^2$ whose linear collineation group has the maximal size of $q^3-q$. We also establish a number of more general results concerning parabolic unitals in regular nearfield planes under weaker assumptions. |
| title | A classification of unitals in nearfield planes with maximal automorphism group |
| topic | Combinatorics 51E20, 51E14 |
| url | https://arxiv.org/abs/2511.02987 |