A Freiman-type theorem for locally compact abelian groups

Tom Sanders

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arXiv · 0710.2545

A Freiman-type theorem for locally compact abelian groups

Tom Sanders

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Abstract

We prove a Freiman-type theorem for locally compact abelian groups. If A is a subset of a locally compact abelian group with Haar measure m and m(nA) < n^dm(A) for all n>d log d then we describe A in a way which is tight up to logarithmic factors in d.

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Tom Sanders. 2010-04-01. A Freiman-type theorem for locally compact abelian groups. https://arxiv.org/abs/0710.2545

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