论文标题

$ {\ rm {aut}}(f_n)$中免费组的直接产品

Direct products of free groups in ${\rm{Aut}}(F_N)$

论文作者

Bridson, Martin R., Wade, Richard D.

论文摘要

我们对非亚伯自由组的直接产品的嵌入到$ {\ rm {aut}}}(f_n)$和$ {\ rm {out}}(f_n)$时,我们将完整描述到$ {\ rm {aut}}}(f_n)$。为了实现这一目标,我们证明每个此类嵌入的图像在外部空间边界中具有特定类型的规范固定点。

We give a complete description of the embeddings of direct products of nonabelian free groups into ${\rm{Aut}}(F_N)$ and ${\rm{Out}}(F_N)$ 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.

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