Arunava Mandal

collaborators

5 papers

math.GR2026

Combination of locally quasiconvex hyperbolic TDLC groups and Cannon-Thurston maps

Swarnali Datta, Arunava Mandal, Ravi Tomar

In this article, we study acylindrical graphs of groups, local quasiconvexity, and Cannon-Thurston maps in the setting of totally disconnected locally compact (TDLC) hyperbolic gro…

math.GR2025

On rational and real elements in a class of Lie groups

Arunava Mandal, Shashank Vikram Singh

For a class of groups $G$ over a field $F$ , including certain Lie groups, Algebraic groups and finite groups, we develop a general method to determine rational and real el…

math.GR2025

On combination theorems and Bowditch boundaries of relatively hyperbolic TDLC groups

Swarnali Datta, Arunava Mandal, Ravi Tomar

Based on the work of Farb, Bowditch, and Groves-Manning on discrete relatively hyperbolic groups, we introduce an approach to relative hyperbolicity for totally disconnected locall…

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 $G (F)$ .…