On the Orbital Diameter of Primitive Affine Groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
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| _version_ | 1866909324146638848 |
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| author | Rekvényi, Kamilla |
| author_facet | Rekvényi, Kamilla |
| contents | The orbital diameter of a primitive permutation group is the maximal diameter of its orbital graphs. There has been a lot of interest in bounds for the orbital diameter. In this paper we provide explicit bounds on the diameters of groups of primitive affine groups with almost quasisimple point stabilizer.
As a consequence we obtain a partial classification of primitive affine groups with orbital diameter less than or equal to 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15960 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Orbital Diameter of Primitive Affine Groups Rekvényi, Kamilla Group Theory The orbital diameter of a primitive permutation group is the maximal diameter of its orbital graphs. There has been a lot of interest in bounds for the orbital diameter. In this paper we provide explicit bounds on the diameters of groups of primitive affine groups with almost quasisimple point stabilizer. As a consequence we obtain a partial classification of primitive affine groups with orbital diameter less than or equal to 2. |
| title | On the Orbital Diameter of Primitive Affine Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2409.15960 |