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math.GR2014
The solvability of groups with nilpotent minimal coverings
Russell D. Blyth, Francesco Fumagalli, Marta Morigi
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering is minimal if there is no covering of smaller cardinality, and it is nilpotent…
math.GR2014
Procyclic coverings of commutators in profinite groups
Gustavo A. Fernández-Alcober, Marta Morigi, Pavel Shumyatsky
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 commuta…