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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…
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 , where (resp. ) is t…
math.GT2022
A Combinatorial Criterion and Center for the quasi-isometry groups of Euclidean spaces
Swarup Bhowmik, Prateep Chakraborty
In this study, we introduce the notion of -homeomorphisms of . Furthermore, we provide a combinatorial criterion reliant on the vertices and edges of simplicial…