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20.23 (2022)

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Is there a constant $\delta$ with $0 < \delta < 1$ and an integer $N$ such that whenever $A$, $B$, and $C$ are conjugacy classes in the alternating group $\text{Alt}(n)$ each of size at least $|\text{Alt}(n)|^\delta$ with $n \geqslant N$, then $ABC = \text{Alt}(n)$?

Contributor: M. Garonzi, A. Maróti

Progress

*Yes, there are (D. Dona, Preprint, 2025, https://arxiv.org/abs/2505.06012).

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