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Questions about the group of automorphisms of any mathematical object $X$ endowed with a given structure, i.e the group of all bijective maps from $X$ to itself preserving this structure, and hence helping study it further and understand it better.

13 votes

Outer automorphisms of free groups into bigger free groups

There is a bunch of negative results here: 1) Khramtsov has shown that there are no embeddings for $m = n+1$ (when $n>1$) 2) Bridson and Vogtmann have shown that any homomorphism $Out(F_n) \to Out(F …
Dawid Kielak's user avatar