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In page Poppaea Sabina:

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Tacitus depicts Poppaea as inducing Nero to murder his mother, Agrippina, in 59 so that she could marry him.[1] Modern scholars, though, question the reliability of this story as Nero did not marry Poppaea until 62[2] and point to Sueton's dating of the divorce from Otho.[3] Some modern historians theorize that Nero's decision to kill Agrippina was prompted by her plotting to set Gaius Rubellius Plautus (Nero's maternal second cousin) on the throne rather than as a result of Poppaea's motives.