Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1434

Preprint Number 1434

Previous Next Preprint server

1434. C. Terry and J. Wolf
Quantitative structure of stable sets in finite abelian groups

Submission date:


We prove an arithmetic regularity lemma for stable subsets of finite abelian groups, generalising our previous result for high-dimensional vector spaces over finite fields of prime order. A qualitative version of this generalisation was recently obtained by the first author in joint work with Conant and Pillay, using model-theoretic techniques. In contrast, the approach in the present paper is highly quantitative and relies on several key ingredients from arithmetic combinatorics.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1805.06847: pdf, ps.

Last updated: June 3 2018 20:31 Please send your corrections to: