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The Sharp Threshold for Maximum-Size Sum-Free Subsets in Even-Order Abelian Groups
Published online by Cambridge University Press: 09 January 2015
Abstract
We study sum-free sets in sparse random subsets of even-order abelian groups. In particular, we determine the sharp threshold for the following property: the largest such set is contained in some maximum-size sum-free subset of the group. This theorem extends recent work of Balogh, Morris and Samotij, who resolved the case G = ℤ2n, and who obtained a weaker threshold (up to a constant factor) in general.
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- Combinatorics, Probability and Computing , Volume 24 , Special Issue 4: Oberwolfach Special Issue Part 1 , July 2015 , pp. 609 - 640
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- Copyright © Cambridge University Press 2015
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