Chieu-Minh Tran

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20242026

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math.GR2024

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

math.GR2024

A Cauchy-Davenport theorem for locally compact groups

Yifan Jing, Chieu-Minh Tran

We generalize the Cauchy-Davenport theorem to locally compact groups.