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- W2953241869 abstract "We consider profinite groups in which all commutators are contained in a union of finitely many procyclic subgroups. It is shown that if G is a profinite group in which all commutators are covered by m procyclic subgroups, then G possesses a finite characteristic subgroup M contained in G' such that the order of M is m-bounded and G'/M is procyclic. If G is a pro-p group such that all commutators in G are covered by m procyclic subgroups, then G' is either finite of m-bounded order or procyclic." @default.
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- W2953241869 date "2014-05-21" @default.
- W2953241869 modified "2023-09-23" @default.
- W2953241869 title "Procyclic coverings of commutators in profinite groups" @default.
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