The Robust Thompson's Conjecture for Alternating Groups

Nathan Keller, Noam Lifshitz, Avichai Marmor +1

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