Maximal sum-free sets in finite abelian groups

DOI10.1017/S000497270004199XzbMath0191.02203OpenAlexW1985394216MaRDI QIDQ5584602

Anne Penfold Street, Akbar Hussein Rhemtulla

Publication date: 1970

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270004199x

zbMATH Keywords

finite abelian groupsmaximal sum-free sets

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (15)

Three questions of Bertram on locally maximal sum-free sets ⋮ Sum-free sets in abelian groups ⋮ Maximum number of sum-free colorings in finite abelian groups ⋮ Dioid partitions of groups ⋮ Beyond sum-free sets in the natural numbers ⋮ The number of additive triples in subsets of abelian groups ⋮ Sum-Free Sets of Integers with a Forbidden Sum ⋮ Large sum-free sets in \(\mathbb Z/p\mathbb Z\) ⋮ Groups with few maximal sum-free sets ⋮ Additive group theory—A progress report ⋮ Symmetric complete sum-free sets in cyclic groups ⋮ The extent to which subsets are additively closed ⋮ Product-one subsequences over subgroups of a finite group ⋮ Maximalsum-free sets in finite Abelian groups. III ⋮ Large sum-free sets in ternary spaces

Cites Work

• The Critical Pairs of Subsets of a Group of Prime Order
• Maximal sum-free sets of elements of finite groups
• Unnamed Item

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