Finite imprimitive rank $3$ affine groups -- I
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918158923726848 |
|---|---|
| author | Li, Cai Heng Liu, Luyi Yi, Hanyue Zhu, Yan Zhou |
| author_facet | Li, Cai Heng Liu, Luyi Yi, Hanyue Zhu, Yan Zhou |
| contents | This is one of a series of papers which aims towards a classification of imprimitive affine groups of rank $3$.
In this paper, a complete classification is given of such groups of characteristic $p$ such that the point stabilizer is not $p$-local, which shows that such groups are very rare, namely, the two non-isomorphic groups of the form $2^4{:}\mathrm{GL}_3(2)$ with a unique minimal normal subgroup are the only examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite imprimitive rank $3$ affine groups -- I Li, Cai Heng Liu, Luyi Yi, Hanyue Zhu, Yan Zhou Group Theory This is one of a series of papers which aims towards a classification of imprimitive affine groups of rank $3$. In this paper, a complete classification is given of such groups of characteristic $p$ such that the point stabilizer is not $p$-local, which shows that such groups are very rare, namely, the two non-isomorphic groups of the form $2^4{:}\mathrm{GL}_3(2)$ with a unique minimal normal subgroup are the only examples. |
| title | Finite imprimitive rank $3$ affine groups -- I |
| topic | Group Theory |
| url | https://arxiv.org/abs/2412.02365 |