On the center of the group of quasi-isometries of the real line

Prateep Chakraborty

Let $QI(\mathbb{R})$ denote the group of all quasi-isometries $f:\mathbb{R}\to \mathbb{R}.$ Let $Q_{+}(\text{and}{Q}_{-})$ denote the subgroup of $QI(\mathbb{R})$ consisting of elemen…