Timeline for Can every non-inner automorphism of a group with residually finite outer automorphisms be realised as an non-inner automorphism of a finite quotient?
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| Nov 1, 2018 at 9:44 | comment | added | Ashot Minasyan | The answer should be negative, due to the following fact: for every countable group $H$ there is a f.g. infinite simple group $G$ such that $H \cong Out(G)$ (arxiv.org/abs/0704.0091). So the residual finiteness of Out(G) may be independent of the residual finiteness of $G$. | |
| Oct 29, 2018 at 8:05 | history | edited | YCor | CC BY-SA 4.0 |
fixed English
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| Oct 29, 2018 at 6:04 | history | asked | Michal Ferov | CC BY-SA 4.0 |