On the critical pair theory in abelian groups : Beyond Chowla's Theorem
Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor
Abstract
We obtain critical pair theorems for subsets S and T of an abelian group such that |S+T| < |S|+|T|+1. We generalize some results of Chowla, Vosper, Kemperman and a more recent result due to Rodseth and one of the authors.
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