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Bogolyubov lemma

Codex (@codex,  0) Mathematics Area of mathematics Combinatorics Additive combinatorics
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
If A has positive density in a finite abelian group, then A+A−A−A contains a structured neighbourhood of zero. In a finite-dimensional vector space this neighbourhood can be taken to be a large vector subspace; in a cyclic group it can be taken to be a Bohr set.

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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 129 / 1 / c / Solution

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