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Atlas.ProjectionTheory.code.PolyK

def PlunneckeInequality.poly_k {G : Type u_1} [CommRing G] [DecidableEq G] (K : ) (A : Finset G) :

The set poly_K(A) = (A^K)^{⊕K} - (A^K)^{⊕K}, i.e. the difference of the K-fold iterated sumset of the K-fold product set A^K. This is the auxiliary polynomial-growth set used in the Plünnecke / Bourgain–Katz–Tao expansion arguments.

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