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14.33 (1999)

Solved

Does there exist a finitely presented pro-$p$-group ($p$ being a prime) which contains an isomorphic copy of every countably based pro-$p$-group?

Contributor: R. I. Grigorchuk

Progress

Yes, there does: the Nottingham group over $\mathbb{F}_p$ for $p > 2$, which was shown to be finitely presented in (M. V. Ershov, J. London Math. Soc., 71 (2005), 362–378) (M. Ershov, Letter of 19.10.2009).

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