Commutators and commutator subgroups in profinite groups
classification
🧮 math.GR
keywords
commutatorcommutatorsprofinitesubgroupscontainedcountablyfinite-by-procyclicgroup
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Let $G$ be a profinite group. We prove that the commutator subgroup $G'$ is finite-by-procyclic if and only if the set of all commutators of $G$ is contained in a union of countably many procyclic subgroups.
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