Yong Yang

collaborators

2 papers

math.GR2026

Large orbits of nilpotent subgroups of linear groups

Yuchen Xu, Yong Yang

Suppose that $G$ is a finite solvable group and $V$ is a finite, faithful and completely reducible $G$ -module. Let $N$ be a nilpotent subgroup of $G$ , then there exits $v \in V$ su…

math.GR2025

Large orbits of Hall subgroups of solvable linear groups

Samarth Das, Yong Yang

Suppose that $G$ is a finite solvable group and let $H$ be a Hall $I ¨ $ -subgroup, let $b (H)$ be the largest character degree of $H$ , we show that $∣ G : O_{I ¨ ^{'} I ¨ } (G) ∣_{I ¨} \leq b (H)^{2}$ .