Cristina Acciarri
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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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.
Key concepts: Commutator, Mathematics, Profinite group, Pure mathematics, Set (abstract data type), Commutator subgroup, Group (periodic table), Normal subgroup