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arXiv · 2304.07913

On algebraic normalisers of maximal tori in simple groups of Lie type

Anton A. Baykalov
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Abstract

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 $N(G,T).$

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Anton A. Baykalov. 2023-04-16. On algebraic normalisers of maximal tori in simple groups of Lie type. https://doi.org/10.1515/jgth-2023-0070

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