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math.GR2014★ 34 cited
Commuting probabilities of finite groups
Sean Eberhard
The commuting probability of a finite group is defined to be the probability that two randomly chosen group elements commute. Let P \subset (0,1] be the set of commuting probabilit…
math.CO2014★ 3 cited
Følner sequences and sum-free sets
Sean Eberhard
Erdős showed that every set of positive integers contains a subset of size at least containing no solutions to . We prove that the constant $1…