Engel groups in bath - ten years later

DOI10.22108/ijgt.2020.120132.1584zbMath1443.20001OpenAlexW3010895135MaRDI QIDQ5124361

Maria Tota, Antonio Tortora

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/1e8a213698334ddc8b70bd54a7df64b5

zbMATH Keywords

verbal subgroupEngel groupresidually finite group

Mathematics Subject Classification ID

History of mathematics in the 21st century (01A61) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Engel conditions (20F45) History of group theory (20-03)

Cites Work

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• On words that are concise in residually finite groups.
• On Lie rings of torsion groups
• On a problem of P. Hall for Engel words.
• On semiconcise words
• An Engel condition for orderable groups.
• On varieties of groups satisfying an Engel type identity.
• On the verbal width of finitely generated pro-\(p\) groups.
• On bounded conciseness of words in residually finite groups
• On conciseness of some commutator words
• Bounded Engel elements in groups satisfying an identity
• On bounded conciseness of Engel-like words in residually finite groups
• A note on locally graded groups
• On rational and concise words.
• Lie algebras and torsion groups with identity
• On locally graded groups with a word whose values are Engel
• A Note on Conciseness of Engel Words
• Outer commutator words are uniformly concise
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• Two-Generator conditions for Residually Finite Groups
• On residually finite groups in which commutators are engel
• Verbal subgroups in residually finite groups
• Engel groups with an identity
• Applications of Lie ring methods to group theory
• On some classes of orderable groups
• ON GROUPS ADMITTING A WORD WHOSE VALUES ARE ENGEL
• A NILPOTENCY CRITERION FOR SOME VERBAL SUBGROUPS
• Groups with bounded verbal conjugacy classes
• On Outer-Commutator Words