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- W2060149016 abstract "Given two different positive integers k and l , a ( k , l )-free set of some group ( G , +) is defined as a set ⊂ G such that k ∩ l = ∅. This paper is devoted to the complete determination of the structure of ( k , l )-free sets of ℤ/ p ℤ ( p an odd prime) with maximal cardinality. Except in the case where k = 2 and l = 1 (the so-called sum-free sets), these maximal sets are shown to be arithmetic progressions. This answers affirmatively a conjecture by Bier and Chin which appeared in a recent issue of this Bulletin." @default.
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- W2060149016 date "2002-02-01" @default.
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- W2060149016 title "Maximal (k, l)-free sets in ℤ/pℤ are arithmetic progressions" @default.
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- W2060149016 doi "https://doi.org/10.1017/s0004972700020153" @default.
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