Measure doubling in unimodular locally compact groups and quotients

Zuxiang Kong, Fei Peng, Chieu-Minh Tran

We consider a (possibly discrete) unimodular locally compact group $G$ with Haar measure ${\mu }_G$, and a compact $A\subseteq G$ of positive measure with ${\mu }_G(A^2)\le K{\mu }_G(A)$. Let $H…