The extent to which subsets are additively closed

DOI10.1016/j.jcta.2008.11.007zbMath1208.11034OpenAlexW2157821161MaRDI QIDQ1024343

Gary L. Mullen, Joseph L. Yucas, Sophie Huczynska

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.2008.11.007

zbMATH Keywords

finite fieldCauchy-Davenport theoremsum-free setintegers modulo \(p\)

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite abelian groups (20K01) Additive bases, including sumsets (11B13)

Related Items (2)

Beyond sum-free sets in the natural numbers ⋮ Minimum number of additive tuples in groups of prime order

Cites Work

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• On the number of monochromatic Schur triples.
• Cameron-Erdős modulo a prime
• The Critical Pairs of Subsets of a Group of Prime Order
• Some Ramsey and anti–Ramsey results in finite groups
• A Generalisation of the Theorem of Cauchy and Davenport
• THE CAMERON–ERDOS CONJECTURE
• Maximal Sum-Free Sets of Group Elements
• Maximal sum-free sets in finite abelian groups
• A Historical Note

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