A Cauchy-Davenport theorem for locally compact groups

TL;DR

This paper extends the classical Cauchy-Davenport theorem, originally for finite groups, to the broader setting of locally compact groups, providing new insights into their additive properties.

Contribution

The paper introduces a generalized version of the Cauchy-Davenport theorem applicable to locally compact groups, expanding its scope beyond finite groups.

Findings

Established a Cauchy-Davenport type inequality for locally compact groups

Demonstrated the theorem's applicability to various classes of groups

Provided new tools for additive combinatorics in topological group settings

Abstract

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