Roots of elements for groups over local fields

Parteek Kumar, Arunava Mandal

Let $\mathbb{F}$ be a local field and $G$ be a linear algebraic group defined over $\mathbb{F}$. For $k\in \mathbb{N}$, let $g\to g^k$ be the $k$-th power map $P_k$ on $G(\mathbb{F})$.…