3 papers
math.GR2026
A structure theorem for centralizers of dilations in
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
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…