Lev: Restricted set addition in Abelian groups: results and conjectures

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Vsevolod F. Lev
Restricted set addition in Abelian groups: results and conjectures
Journal de théorie des nombres de Bordeaux, 17 no. 1 (2005), p. 181-193, doi: 10.5802/jtnb.485
Article PDF | Reviews MR 2152219 | Zbl 02205440

Résumé - Abstract

We present a system of interrelated conjectures which can be considered as restricted addition counterparts of classical theorems due to Kneser, Kemperman, and Scherk. Connections with the theorem of Cauchy-Davenport, conjecture of Erdős-Heilbronn, and polynomial method of Alon-Nathanson-Ruzsa are discussed.

The paper assumes no expertise from the reader and can serve as an introduction to the subject.

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