Asymptotics of the powers in finite reductive groups

Amit Kulshrestha, Rijubrata Kundu, Anupam Singh

Let $G$ be a connected reductive group defined over ${\mathbb{F}}_q$. Fix an integer $M\ge 2$, and consider the power map $x\mapsto x^M$ on $G$. We denote the image of $G(\mathbb F_q…