Journal ArticleDOI
Maximal Sum-Free Sets of Group Elements
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This article is published in Journal of The London Mathematical Society-second Series.The article was published on 1969-01-01. It has received 17 citations till now. The article focuses on the topics: Group (mathematics).read more
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Maximal Sum-Free Sets of Elements of Finite Groups
Journal ArticleDOI
A new critical pair theorem applied to sum-free sets in Abelian groups
TL;DR: In this paper, a new generalization of Vosper critical pair theorem to finite Abelian groups is presented, which allows to describe the structure of maximal sum-free sets with cardinality at least one third of that of the ambient group.
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A refinement of the Cameron-Erd\H{o}s Conjecture
TL;DR: In this article, it was shown that the number of sum-free subsets of the first positive integers which contain no solution to the equation x + y = z can be computed in O(n/m) time.
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Sum-free sets in vector spaces over GF(2)
W. Edwin Clark,John Pedersen +1 more
TL;DR: It is proved that there are no msf sets S in V(n) with 5 × 2n − 4 2⩽ s ⩽ [ (n − t) 2 ] .
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Random sum-free subsets of abelian groups
TL;DR: In this paper, the structure of maximum-size sum-free subsets of a random subset of an abelian group G is characterized, and the sharp threshold for the above property is determined.