Swarup Bhowmik

activity

20222026

collaborators

5 papers

math.GR2026

A structure theorem for centralizers of dilations in $Q I (R_{+})$

Swarup Bhowmik, Deblina Das

We study centralizers of dilations in the quasi-isometry group of the positive real line. We introduce an asymptotic invariant defined via coarsely dense sequences at infinity and…

math.GT2025

Orderability and Asymptotic Structure of $QI (R^{n})$

Swarup Bhowmik, Deblina Das, Kashyap Rajeevsarathy

In this article, we study the algebraic and dynamical structure of certain normal subgroups of the quasi-isometry group of Euclidean spaces. We first consider the normal subgroup c…

math.GT2024

Center and torsion of a quotient of the group of piecewise linear homeomorphisms of the real line

Swarup Bhowmik

In this article, we show that the group comprising piecewise-linear homeomorphisms of the real line with bounded slopes is not simple. Furthermore, we establish that a quotient of…

math.GT2023

A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line

Swarup Bhowmik, Prateep Chakraborty

It is well-known that $Q I (R) ≅ (Q I (R_{+}) \times Q I (R_{-})) ⋊ < t >$ , where $Q I (R)$ (resp. $Q I (R_{+}) (≅ Q I (R_{-}))$ ) is t…

math.GT2022

A Combinatorial Criterion and Center for the quasi-isometry groups of Euclidean spaces