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arXiv · 1811.05811

Groups with few maximal sum-free sets

Hong Liu·Maryam Sharifzadeh
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Abstract

We show that, in contrast to the integers setting, almost all even order abelian groups $G$ have exponentially fewer maximal sum-free sets than $2^{μ(G)/2}$, where $μ(G)$ denotes the size of a largest sum-free set in $G$. This confirms a conjecture of Balogh, Liu, Sharifzadeh and Treglown.

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Hong Liu, Maryam Sharifzadeh. 2018-11-14. Groups with few maximal sum-free sets. https://arxiv.org/abs/1811.05811

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