On Residually Finite Groups with Engel-like Conditions

DOI10.1080/00927872.2015.1087014zbMath1349.20036arXiv1505.04468OpenAlexW3098989938MaRDI QIDQ2817498

Raimundo A. Bastos

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1505.04468

zbMATH Keywords

residually finite groupsEngel elements

Mathematics Subject Classification ID

Residual properties and generalizations; residually finite groups (20E26) Engel conditions (20F45)

Related Items (3)

Bounded Engel elements in groups satisfying an identity ⋮ The non-abelian tensor square of residually finite groups ⋮ Bounded Engel elements in residually finite groups

Cites Work

• On the Burnside problem for periodic groups
• On Burnside's problem on periodic groups
• Identities for Lie algebras of pro-\(p\) groups
• Multilinear commutators in residually finite groups.
• On profinite groups with Engel-like conditions.
• Free subgroups in linear groups
• Finite automata and Burnside's problem for periodic groups
• On locally graded groups with a word whose values are Engel
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Two-Generator conditions for Residually Finite Groups
• On residually finite groups in which commutators are engel
• The derived subgroup of a group with commutators of bounded order can be non-periodic
• ON GROUPS ADMITTING A WORD WHOSE VALUES ARE ENGEL
• Sur les groupes nilpotents et les anneaux de Lie

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