Commutators and commutator subgroups in profinite groups

DOI10.1016/j.jalgebra.2016.11.001zbMath1375.20033arXiv1408.5034OpenAlexW2963855600MaRDI QIDQ502715

Cristina Acciarri, P. V. Shumyatskij

Publication date: 6 January 2017

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

Full work available at URL: https://arxiv.org/abs/1408.5034

zbMATH Keywords

commutatorsprofinite groupsprocyclic subgroups

Mathematics Subject Classification ID

Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items (1)

On profinite groups with commutators covered by nilpotent subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite groups in which coprime commutators are covered by few cyclic subgroups.
• Procyclic coverings of commutators in profinite groups.
• On countable coverings of word values in profinite groups.
• Commutators of elements of coprime orders in finite groups.
• On profinite groups with commutators covered by nilpotent subgroups
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• On groups in which commutators are covered by finitely many cyclic subgroups.
• On periodic compact groups
• Commutators and commutator subgroups
• On the structure of compact torsion groups
• On profinite groups in which commutators are covered by finitely many subgroups.
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• On verbal subgroups in finite and profinite groups
• Profinite Groups

This page was built for publication: Commutators and commutator subgroups in profinite groups