On algebraic normalisers of maximal tori in simple groups of Lie type
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914799252668416 |
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| author | Baykalov, Anton A. |
| author_facet | Baykalov, Anton A. |
| contents | Let $G$ be a finite simple group of Lie type and let $T$ be a maximal torus of $G$. It is well known that if the defining field of $G$ is large enough, then the normaliser of $T$ in $G$ is equal to the algebraic normaliser $N(G,T)$. We identify explicitly all the cases when $N_G(T)$ is not equal to $N(G,T).$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07913 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On algebraic normalisers of maximal tori in simple groups of Lie type Baykalov, Anton A. Group Theory 20D06, 20G07 Let $G$ be a finite simple group of Lie type and let $T$ be a maximal torus of $G$. It is well known that if the defining field of $G$ is large enough, then the normaliser of $T$ in $G$ is equal to the algebraic normaliser $N(G,T)$. We identify explicitly all the cases when $N_G(T)$ is not equal to $N(G,T).$ |
| title | On algebraic normalisers of maximal tori in simple groups of Lie type |
| topic | Group Theory 20D06, 20G07 |
| url | https://arxiv.org/abs/2304.07913 |