On (k, l)-sets in cyclic groups of odd prime order

DOI10.1017/S0004972700019171zbMath1059.20049OpenAlexW2169234408MaRDI QIDQ2716967

Thomas Bier, Angelina Yan Mui Chin

Publication date: 9 October 2001

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

Full work available at URL: https://doi.org/10.1017/s0004972700019171

zbMATH Keywords

sum-free setsfinite Abelian groupsarithmetic progressions\((k,l)\)-sets

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (5)

Classifications of $\ell$-Zero-Sumfree Sets ⋮ THE MAXIMUM SIZE OF -SUM-FREE SETS IN CYCLIC GROUPS ⋮ Asymptotics for the logarithm of the number of \((k,l)\)-sum-free sets in groups of prime order ⋮ The largest $(k, \ell)$-sum-free sets in compact abelian groups ⋮ ON THE MAXIMUM SIZE OF A (k,l)-SUM-FREE SUBSET OF AN ABELIAN GROUP

Cites Work

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• The Critical Pairs of Subsets of a Group of Prime Order
• Maximal Sum-Free Sets of Group Elements

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