Kneser's Theorem is a foundational result in additive number theory that characterizes the structure of sumsets in abelian groups by asserting that if the sumset of two finite subsets has size less than the sum of their sizes minus the size of their stabilizer subgroup, then the sumset is periodic with respect to that stabilizer.
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Publications
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A short proof of Kneser's conjecture
J Bárány · Journal of Combinatorial Theory Series A · 1978 · 148 citations
A Combinatorial Proof of Kneser’s Conjecture*
COMBINATORICA · 2004 · 125 citations · Full text
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Institutions
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Tel Aviv University
Tel Aviv, Israel
3 h-index
4 publications
79 citations
Universitat de Miguel Hernández d'Elx
Elche, Spain
3 h-index
3 publications
88 citations
Eötvös Loránd University
Budapest, Hungary
2 h-index
3 publications
56 citations
Pennsylvania State University
State College, United States
2 h-index
2 publications
40 citations
Institut de Mathématiques de Bordeaux
Talence, France
2 h-index
3 publications
43 citations
Shahid Beheshti University
Tehran, Iran
1 h-index
1 publications
12 citations
Royal Military College Saint-Jean
Saint-Jean-sur-Richelieu, Canada
1 h-index
1 publications
12 citations
Institute for Advanced Study
Princeton, United States
1 h-index
1 publications
26 citations
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Venues
- Proceedings of the American Mathematical Society
PROC · 4 publications · 61 citations
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- Discrete Mathematics
2 publications · 22 citations
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- European Journal of Combinatorics
2 publications · 141 citations
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- Journal of Combinatorial Theory Series A
2 publications · 984 citations
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- COMBINATORICA
2 publications · 138 citations
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