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The open-subgroup finite-rank conjecture for profinite word-value subgroups
Let $w$ be a multilinear commutator word, let $G$ be a profinite group, and let $r$ be a positive integer. Suppose that all $w$ -values in $G$ are contained in a union of countably…
Conjectureopenfinite-rank-groups profinite-groups word-valuesarXiv posted 2 days ago

The open-subgroup finite-rank conjecture for profinite word-value subgroups