A Note on Conciseness of Engel Words

DOI10.1080/00927872.2011.582061zbMath1261.20033OpenAlexW2033620518MaRDI QIDQ2904709

Gunnar Traustason, Gustavo A. Fernández-Alcober, Marta Morigi

Publication date: 23 August 2012

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

Full work available at URL: http://opus.bath.ac.uk/26746/1/paper30.pdf

zbMATH Keywords

verbal subgroupscommutator wordsEngel wordsconcise wordsinfinite simple Engel groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (10)

ON A PROBLEM OF P. HALL FOR ENGEL WORDS II ⋮ ON GROUPS WITH FINITE CONJUGACY CLASSES IN A VERBAL SUBGROUP ⋮ On conciseness of some commutator words ⋮ Unnamed Item ⋮ On bounded conciseness of Engel-like words in residually finite groups ⋮ Engel groups in bath - ten years later ⋮ On finiteness of verbal subgroups ⋮ Embeddings of \(n\)-Engel marginal subgroups in compact groups ⋮ On semiconcise words ⋮ Words of Engel type are concise in residually finite groups

Cites Work

• Unnamed Item
• Outer commutator words are uniformly concise
• Groups with bounded verbal conjugacy classes
• Finiteness Conditions for Verbal Subgroups
• On Outer-Commutator Words
• 4-ENGEL GROUPS ARE LOCALLY NILPOTENT
• Marginal Subgroup Properties for Outer Commutator Words

This page was built for publication: A Note on Conciseness of Engel Words