Sum-free sets in abelian groups by Green, B, Ruzsa, I

“…For certain abelian groups, those whose order is divisible by a small prime of the form 3k + 2, we can obtain an asymptotic for the number of sum-free sets.…”

The Erdős-Moser sum-free set problem by Sanders, T

On Large Sum-Free Sets: Revised Bounds and Patterns by Renato Cordeiro de Amorim

Subjects: “…sum-free sets…”
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The growth rate of tri-colored sum-free sets by Robert Kleinberg, Will Sawin, David Speyer

“…Note that a cap set $A\subseteq \mathbb{F}_3^n$ gives rise to a tri-coloured sum-free set, namely the collection of triples $\{(a,a,a): a\in A\}$. …”
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18.218 Probabilistic Method in Combinatorics, Spring 2019 by Zhao, Yufei

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Proof of a conjecture of Kleinberg-Sawin-Speyer by Luke Pebody

“…Second, tri-coloured sum-free sets have connections to certain approaches to the fast matrix-multiplication problem, and to long-standing open problems in property testing. …”
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Quasirandom groups enjoy interleaved mixing by Harm Derksen, Emanuele Viola

“…(The constant comes from the fact that if the group is cyclic and $n$ is even then the odd elements form a sum-free set of size $n/2$, while for odd $n$ one can check that a suitable "middle third" of elements gives an example of size $\lfloor(n+1)/3\rfloor$. …”
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The largest $(k,\ell )$-sum-free subsets by Jing, Y, Wu, S

“…</p> <p>In this paper, we study the analogous conjecture on (k,ℓ)-sum-free sets and restricted (k,ℓ)-sum-free sets. We determine the constant c(k,ℓ) for every (k,ℓ)-sum-free sets, and confirm the conjecture for infinitely many (k,ℓ).…”

A DISTRIBUTION ON TRIPLES WITH MAXIMUM ENTROPY MARGINAL by SERGEY NORIN

“…[‘The growth rate of tri-colored sum-free sets’, Discrete Anal. (2018), Paper No. 12, arXiv:1607.00047v1], which is motivated by the study of sum-free sets.…”
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Sumsets as unions of sumsets of subsets by Jordan S. Ellenberg

“… [2] Robert Kleinberg, _A nearly tight upper bound on tri-colored sum-free sets in characteristic 2_, [arXiv:1605.08416](https://arxiv.org/abs/1605.08416)…”
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