On compact groups with Engel-like conditions

DOI10.1080/00927872.2023.2211171zbMath1525.22002OpenAlexW4376637819MaRDI QIDQ6164577

Raimundo A. Bastos, Danilo Silveira

Publication date: 28 July 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2211171

zbMATH Keywords

profinite groupscompact groupsEngel elements

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other groups related to topology or analysis (20F38) Compact groups (22C05) Engel conditions (20F45) Limits, profinite groups (20E18)

Cites Work

• Generators and commutators in finite groups; abstract quotients of compact groups.
• On varieties of groups satisfying an Engel type identity.
• Identities for Lie algebras of pro-\(p\) groups
• On compact Engel groups.
• On periodic compact groups
• On the structure of compact torsion groups
• On profinite groups with Engel-like conditions.
• The Engel structure of linear groups
• On profinite groups in which commutators are Engel
• The structure of compact groups. A primer for the student -- a handbook for the expert

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