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Questions about the branch of algebra that deals with groups.
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Are all profinite groups conjugacy separable?
Let $G$ be an infinite profinite group.
Then $G$ is an inverse limit of an inverse limit system $\{G_i\}_{i=1}^{\infty}$ where $G_{i+1} \to G_i$ is surjective for all $i$.
I want to show that $G$ is …