Verbal sets and cyclic coverings.

DOI10.1016/j.jalgebra.2010.06.025zbMath1215.20028OpenAlexW2054520494MaRDI QIDQ615847

Chiara Nicotera, Giovanni Cutolo

Publication date: 7 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.06.025

zbMATH Keywords

cyclic subgroupslower central seriesverbal subgroupssubgroup coverings

Mathematics Subject Classification ID

Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (4)

On finite groups in which coprime commutators are covered by few cyclic subgroups. ⋮ Procyclic coverings of commutators in profinite groups. ⋮ On a problem of P. Hall for Engel words. ⋮ On countable coverings of word values in profinite groups.

Cites Work

• On groups in which commutators are covered by finitely many cyclic subgroups.
• A finiteness condition for verbal subgroups
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