Nathan Keller

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20232026

most citedImproved covering results for conjugacy classes of symmetric groups via hypercontractivity

1 citations · 1 across the 2 of their papers we have counts for

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math.GR2026

The Robust Thompson's Conjecture for Alternating Groups

Nathan Keller, Noam Lifshitz, Avichai Marmor +1

We show that there exists a constant $ε > 0$ such that if $C$ is a conjugacy class in $A_{n}$ of size at least $∣ A_{n} ∣^{1 - ε}$ , then $A_{n} ∖ {1} \subseteq C^{2}$ . This proves the…

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 $S_{n}$ that exhibit closure under conjugation, known as \emph{normal} sets. We show that for any $ε > 0$ , there exists $n_0…