Restricted set addition: the exceptional case of the Erdős-Heilbronn conjecture
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Publication:1024375
DOI10.1016/j.jcta.2008.08.005zbMath1183.11062OpenAlexW1999799060WikidataQ123196066 ScholiaQ123196066MaRDI QIDQ1024375
Publication date: 17 June 2009
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcta.2008.08.005
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70)
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Cites Work
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- Cauchy-Davenport theorem in group extensions.
- Colorings and orientations of graphs
- Sumsets in vector spaces over finite fields
- The Erdős-Heilbronn problem in Abelian groups.
- The polynomial method and restricted sums of congruence classes
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- A compactness argument in the additive theory and the polynomial method.
- The Erdős–Heilbronn problem for finite groups
- Combinatorial Nullstellensatz
- Cyclic Spaces for Grassmann Derivatives and Additive Theory
- Adding Distinct Congruence Classes Modulo a Prime
- Restricted sums of cardinality \(1+p\) in a vector space over \(\mathbb{F}_p\)