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Timeline for Profinite topologies

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Nov 20, 2010 at 6:01 history rollback Alex B.
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Nov 20, 2010 at 5:52 comment added Alex B. Clearly, if $P\subseteq N$, then the index of $P$ in $G$ is divisible by that of $N$ in $G$. So your equivalent condition is satisfied if and only if each finite quotient of $G$ is a $p$-group.
Nov 20, 2010 at 5:45 history edited Romeo
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Nov 20, 2010 at 5:39 history asked Alves CC BY-SA 2.5