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• W3041507345 abstract "Let $G$ be a finite group of Lie type $E_l$ with $lin{6,7,8}$ over $F_q$ and $W$ be the Weyl group of $G$. We describe all maximal tori $T$ of $G$ such that $T$ has a complement in its algebraic normalizer $N(G,T)$. Let $T$ correspond to an element $w$ of $W$. When $T$ does not have a complement, we show that $w$ has a lift in $N(G,T)$ of order $|w|$ in all considered groups, except the simply-connected group $E_7(q)$. In the latter case we describe the elements $w$ that have a lift in $N(G,T)$ of order $|w|$." @default.
• W3041507345 created "2020-07-16" @default.
• W3041507345 creator A5041294560 @default.
• W3041507345 creator A5067257345 @default.
• W3041507345 date "2018-12-30" @default.
• W3041507345 modified "2023-09-25" @default.
• W3041507345 title "On splitting of the normalizers of maximal tori in $E_7(q)$ and $E_8(q)$" @default.
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• W3041507345 hasPublicationYear "2018" @default.
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