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

Hamidoune, Yahya Ould; Serra, Oriol; Zemor, Gilles

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

Authors

Hamidoune, Yahya Ould

Serra, Oriol

Zemor, Gilles

Description

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