Brendan Murphy, Eyvindur Ari Palsson, Giorgis Petridis
Published 2013-09-09Version 1
Let h be a positive integer and A, B_1, B_2,..., B_h be finite sets in a commutative group. We bound |A+B_1+...+B_h| from above in terms of |A|, |A+B_1|,...,|A+B_h| and h. Extremal examples, which demonstrate that the bound is asymptotically sharp in all the parameters, are furthermore provided.
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