Parteek Kumar

collaborators

2 papers

math.GR2025

On stable Cartan subgroups of Lie groups

Parteek Kumar, Arunava Mandal, Shashank Vikram Singh

Let $G$ be a connected real Lie group with associated Lie algebra $g$ , and let $Aut (G)$ be the group of (Lie) automorphisms of $G$ . It is noted here that, given a s…

math.NT2025

Roots of elements for groups over local fields

Parteek Kumar, Arunava Mandal

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