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17.116 (2010)

Solved

Let $n(G)$ be the maximum of positive integers $n$ such that the $n$-th direct power of a finite simple group $G$ is 2-generated. Is it true that $n(G) \geqslant \sqrt{|G|}$?

Contributor: A. Erfanian, J. Wiegold

Progress

Yes, it is, even with $n(G) > 2\sqrt{|G|}$ (A. Maróti, M. C. Tamburini, Commun. Algebra, 41, no. 1 (2013), 34–49).

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