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Preprint Number 1434
1434. C. Terry and J. Wolf Quantitative structure of stable sets in finite abelian groups E-mail: Submission date: Abstract: 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: |
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