Freiman-Ruzsa theorem over a finite field

If

A \subseteq F_{p}^{n}

and

∣ A + A ∣ \leq K ∣ A ∣

, then

A

is contained in a vector subspace

H

satisfying

∣ H ∣ \leq K^{2} p^{K^{4}} ∣ A ∣.

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

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