On the critical pair theory in Z/pZ

Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor

Let A and B be subsets of Z/pZ such that |A+B| < |A|+|B|+2. We prove that, if |A|>3, |B|>4, |A+B|<p-4 and p > 52, then A and B are included in arithmetic progressions with the same…