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20.119 (2022)

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(G. Wilkes). A pro-$p$ group is said to be accessible if there is a number $n = n(G)$ such that any finite proper reduced graph of pro-$p$ groups with finite edge groups having fundamental group isomorphic to $G$ has at most $n$ edges (J. Algebra, 525 (2019), 1–18). Is every finitely presented pro-$p$ group accessible?

Contributor: P. Zalesskii

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