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Sum-free set in finite abelian groups

R. Balasubramanian·Gyan Prakash
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Abstract

Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. In this paper we shall characterise the largest possible sum-free subsets of G in case the order of G is only divisible by primes which are congruent to 1 modulo 3. The result is based on a recent result of Ben Green and Imre Ruzsa.

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R. Balasubramanian, Gyan Prakash. 2005-12-06. Sum-free set in finite abelian groups. https://arxiv.org/abs/math/0502374

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