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Groups with few maximal sum-free sets

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 نشر من قبل Hong Liu
 تاريخ النشر 2018
  مجال البحث
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We show that, in contrast to the integers setting, almost all even order abelian groups $G$ have exponentially fewer maximal sum-free sets than $2^{mu(G)/2}$, where $mu(G)$ 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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