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16.27 (2006)

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Suppose that a finite group $G$ has the same spectrum as an alternating group. Is it true that G has at most one non-abelian composition factor?

Contributor: A. V. Vasil'ev, V. D. Mazurov

Progress

For any finite simple group other than alternating the answer to the corresponding question is affirmative (mod CFSG). (A. V. Vasil'ev and V. D. Mazurov)

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

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