On the multipliers of a Singer quadrangle
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911666441027584 |
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| author | Di, Wendi Feng, Tao |
| author_facet | Di, Wendi Feng, Tao |
| contents | A finite generalized quadrangle $\cS$ is a Singer quadrangle if it has an automorphism group that acts sharply transitively on its points. In this paper, we introduce the notion of multipliers for a Singer quadrangle and study their basic properties. As an application, we show that a point-primitive automorphism group of a thick generalized quadrangle cannot have O'Nan-Scott type HS (holomorph simple), which answers an open problem in \cite{Bamberg 2019}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08654 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the multipliers of a Singer quadrangle Di, Wendi Feng, Tao Combinatorics A finite generalized quadrangle $\cS$ is a Singer quadrangle if it has an automorphism group that acts sharply transitively on its points. In this paper, we introduce the notion of multipliers for a Singer quadrangle and study their basic properties. As an application, we show that a point-primitive automorphism group of a thick generalized quadrangle cannot have O'Nan-Scott type HS (holomorph simple), which answers an open problem in \cite{Bamberg 2019}. |
| title | On the multipliers of a Singer quadrangle |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.08654 |