On groups in which commutators are covered by finitely many cyclic subgroups.

DOI10.1016/J.JALGEBRA.2007.11.018zbMath1154.20031OpenAlexW1977269229MaRDI QIDQ934078

Gustavo A. Fernández-Alcober, P. V. Shumyatskij

Publication date: 29 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.11.018

zbMATH Keywords

commutatorsderived subgroupcoverings by cyclic subgroups

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items (9)

ON A PROBLEM OF P. HALL FOR ENGEL WORDS II ⋮ Covering modules by proper submodules ⋮ Verbal sets and cyclic coverings. ⋮ On finite groups in which coprime commutators are covered by few cyclic subgroups. ⋮ On profinite groups in which commutators are covered by finitely many 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. ⋮ Commutators and commutator subgroups in profinite groups

Cites Work

• A test for commutators
• Finiteness Conditions for Verbal Subgroups
• Groups Covered By Permutable Subsets
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