A. Staroletov

activity

20182026

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4 papers · 1 filter

math.GR2026

Elements of finite order in the normalizer of a maximal torus of a semisimple group

Ivan Arzhantsev, Alexey Galt, Alexey Staroletov

We prove that the set of elements of a given finite order in the connected component $N_{w}$ of the normalizer $N_{G} (T)$ of a maximal torus $T$ of a semisimple group $G$ is either emp…

math.GR2020

Minimal supplements in normalizers of maximal tori of $F_{4} (q)$

Alexey Galt, Alexey Staroletov

Let $G$ be a finite group of Lie type $F_{4}$ with the Weyl group $W$ . For every maximal torus $T$ of $G$ , we find the minimal order of a supplement to $T$ in its algebraic normalize…

math.GR2019

On splitting of the normalizers of maximal tori in $E_{7} (q)$ and $E_{8} (q)$

Alexey Galt, Alexey Staroletov

Let $G$ be a finite group of Lie type $E_{l}$ with $l \in {6, 7, 8}$ 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…

math.GR2018

On splitting of the normalizer of a maximal torus in $E_{6} (q)$

Alexey Galt, Alexey Staroletov

Let $G$ be a finite group of Lie type $E_{6}$ over $F_{q}$ (adjoint or simply connected) and $W$ be the Weyl group of $G$ . We describe maximal tori $T$ such that $T$ has a complement i…

Elements of finite order in the normalizer of a maximal torus of a semisimple group

Minimal supplements in normalizers of maximal tori of F4​(q)

On splitting of the normalizers of maximal tori in E7​(q) and E8​(q)

On splitting of the normalizer of a maximal torus in E6​(q)

Minimal supplements in normalizers of maximal tori of $F_{4} (q)$

On splitting of the normalizers of maximal tori in $E_{7} (q)$ and $E_{8} (q)$

On splitting of the normalizer of a maximal torus in $E_{6} (q)$