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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 129 / 2 / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 129 2
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a
Writing G for the character group of a finite abelian group, the Bohr set with frequency set Γ⊆G and width 0≤ρ≤2 is
B(Γ,ρ)={x∈G:∣γ(x)−1∣≤ρ for every γ∈Γ}.
(1)
Its rank is ∣Γ∣.

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