On bounded conciseness of Engel-like words in residually finite groups

DOI10.1016/J.JALGEBRA.2018.11.020zbMath1477.20055OpenAlexW2902368472WikidataQ128899597 ScholiaQ128899597MaRDI QIDQ1755547

Eloisa Detomi, Marta Morigi, P. V. Shumyatskij

Publication date: 10 January 2019

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

Full work available at URL: http://hdl.handle.net/11585/714254

zbMATH Keywords

wordsconciseness

Mathematics Subject Classification ID

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)

Related Items (12)

Strong conciseness of coprime and anti-coprime commutators ⋮ Commutators, centralizers, and strong conciseness in profinite groups ⋮ Strong conciseness of coprime commutators in profinite groups ⋮ On conciseness of the word in Olshanskii's example ⋮ Bounding the order of a verbal subgroup in a residually finite group ⋮ On conciseness of some commutator words ⋮ On finiteness of some verbal subgroups in profinite groups ⋮ Engel groups in bath - ten years later ⋮ Words of Engel type are concise in residually finite groups. II. ⋮ Finite groups with small centralizers of word-values ⋮ A NILPOTENCY CRITERION FOR SOME VERBAL SUBGROUPS ⋮ On finiteness of verbal subgroups

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