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16.107 (2006)

Solved

Is it true that almost every alternating group $A_n$ is uniquely determined in the class of finite groups by its set of element orders, i. e. that $h(\pi_e(A_n)) = 1$ for all large enough $n$?

Contributor: W. J. Shi

Progress

Yes, it is (I. B. Gorshkov, Algebra and Logic, 52, no. 1 (2013), 41–45).

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