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Article overview
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Groups with few maximal sum-free sets | Hong Liu
; Maryam Sharifzadeh
; | Date: |
14 Nov 2018 | 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
$2^{mu(G)/2}$, where $mu(G)$ denotes the size of a largest sum-free set in
$G$. This confirms a conjecture of Balogh, Liu, Sharifzadeh and Treglown. | Source: | arXiv, 1811.5811 | Services: | Forum | Review | PDF | Favorites |
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