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

arXiv:math/0603478 · doi:10.1007/s00493-008-2262-8

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.

Submitted to Combinatorica, 23 pages, revised version

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