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MR805954 (87a:20032) 20E36 (20F28)
Bachmuth, Seymour; Mochizuki, Horace Y. ${\rm Aut}(F)\to{\rm Aut}(F/F'')$ is surjective for free group $F$ of rank $\geq 4$. Trans. Amer. Math. Soc. 292 (1985), no. 1, 81–101.
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