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 $\hat{I}{¼}_G$, and a compact $A\subseteq G$ of positive measure with $\hat{I}{¼}_G(A^2)\le K\hat{I}{¼}_G(A)$. Let…