On compact Engel groups.

DOI10.1007/BF02776054zbMath1048.20011OpenAlexW2092321524MaRDI QIDQ1424033

Yuri A. Medvedev

Publication date: 8 March 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02776054

zbMATH Keywords

Engel groupslocally nilpotent groupspro-\(p\) groupscompact groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Compact groups (22C05) Local properties of groups (20E25) Engel conditions (20F45) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (17)

FINITE GROUPS WITH ENGEL SINKS OF BOUNDED RANK ⋮ Normal right Engel subgroups of compact Hausdorff groups ⋮ Strong conciseness of Engel words in profinite groups ⋮ On compact groups with Engel-like conditions ⋮ Almost Engel compact groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT ⋮ Compact groups in which all elements are almost right Engel ⋮ Unipotent automorphisms of solvable groups ⋮ Algorithmic Decidability of Engel’s Property for Automaton Groups ⋮ Some remarks on unipotent automorphisms ⋮ Linear Groups with Almost Right Engel Elements ⋮ Compact groups in which all elements have countable right Engel sinks ⋮ Engel elements in some fractal groups ⋮ Embeddings of \(n\)-Engel marginal subgroups in compact groups ⋮ Compact groups with countable Engel sinks

Cites Work

• Identities for Lie algebras of pro-\(p\) groups
• On periodic compact groups
• ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Group Laws Implying Virtual Nilpotence
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