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math.GR2023★ 1 cited
Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld
We study covering numbers of subsets of the symmetric group that exhibit closure under conjugation, known as \emph{normal} sets. We show that for any , there exists $n_0…
math.CO2023
On -Intersecting Families of Permutations
Nathan Keller, Noam Lifshitz, Dor Minzer +1
We prove that there exists a constant such that for any and any , if is a -intersecting family of permutations then$|A|\leq…