We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(F_N) and Out(F_N) when the number of direct factors is maximal. To achieve this, we prove that the image of each such embedding has a canonical fixed point of a particular type in the boundary of Outer space.

中文翻译：

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Aut(FN) 中自由群的直积

当直接因子数量最大时，我们给出了非交换自由群的直积嵌入到 Aut( F _N ) 和 Out( F _N ) 中的完整描述。为了实现这一目标，我们证明每个此类嵌入的图像在外层空间的边界中具有特定类型的规范不动点。