The strong profinite genus of a finitely presented group can be infinite
classification
🧮 math.GR
keywords
finitely-presentedgroupinfiniteprofinitecompletionsconstructcontainsexample
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We construct the first example of a finitely-presented, residually-finite group that contains an infinite sequence of non-isomorphic finitely-presented subgroups such that each of the inclusion maps induces an isomorphism of profinite completions.
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