A. Galt

activity

20192026

collaborators

3 papers

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.GR2022

On splitting of the normalizer of a maximal torus in finite groups of Lie type

Alexey Galt, Alexey Staroletov

Let $G$ be a finite group of Lie type and $T$ a maximal torus of $G$ . In this paper we complete the study of the question of the existence of a complement for the torus $T$ in its…

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…

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

On splitting of the normalizer of a maximal torus in finite groups of Lie type

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

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