Quantitative structure of stable sets in finite abelian groups
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Wolf, Julia https://orcid.org/0000-0002-3158-9597
Terry, Caroline
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.
Description
Keywords
Journal Title
Transactions of the American Mathematical Society
Conference Name
Journal ISSN
0002-9947
1088-6850
1088-6850
Volume Title
Publisher
American Mathematical Society
Publisher DOI
Rights
All rights reserved