On the critical pair theory in abelian groups : Beyond Chowla's Theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222180We 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.Submitted to Combinatorica, 23 pages, revised versionNumber Theory11P70On the critical pair theory in abelian groups : Beyond Chowla's Theoremtext