Treffer: Restricted set addition in Abelian groups: results and conjectures: Restricted set addition in abelian groups: results and conjectures

Title:
Restricted set addition in Abelian groups: results and conjectures: Restricted set addition in abelian groups: results and conjectures
Authors:
Vsevolod F. Lev
Source:
Journal de théorie des nombres de Bordeaux. 17:181-193
Publisher Information:
Cellule MathDoc/Centre Mersenne, 2008.
Publication Year:
2008
Subject Terms:
Finite abelian groups, Kneser theorem, Inverse problems of additive number theory, including sumsets, Other combinatorial number theory, 0101 mathematics, Restricted set addition, Kemperman-Scherk theorem, 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
2118-8572
DOI:
10.5802/jtnb.485
Access URL:
http://www.numdam.org/item/10.5802/jtnb.485.pdf
https://zbmath.org/2205440
https://doi.org/10.5802/jtnb.485
http://emis.library.cornell.edu/journals/JTNB/2005-1/pages181-193.pdf
https://jtnb.centre-mersenne.org/item/10.5802/jtnb.485.pdf
http://www.emis.de/journals/JTNB/2005-1/pages181-193.pdf
https://eudml.org/doc/249425
https://www.univie.ac.at/EMIS/journals/JTNB/2005-1/pages181-193.pdf
https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.485/
Accession Number:
edsair.doi.dedup.....b0a2f01e68f334d01b63097ea6240011
Database:
OpenAIRE

Weitere Informationen

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.