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arXiv · 1408.5034

Commutators and commutator subgroups in profinite groups

Cristina Acciarri·Pavel Shumyatsky
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Abstract

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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Cristina Acciarri, Pavel Shumyatsky. 2014-08-21. Commutators and commutator subgroups in profinite groups. https://arxiv.org/abs/1408.5034

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