Words of Engel type are concise in residually finite groups
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Publication:4997853
DOI10.1142/S1664360719500127zbMath1469.20030OpenAlexW2964312124WikidataQ128119465 ScholiaQ128119465MaRDI QIDQ4997853
Eloisa Detomi, P. V. Shumyatskij, Marta Morigi
Publication date: 30 June 2021
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1664360719500127
Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10) Engel conditions (20F45)
Related Items (10)
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 ⋮ Conciseness in compact \(R\)-analytic groups ⋮ A note on strong conciseness in virtually nilpotent profinite groups ⋮ Unnamed Item ⋮ On finiteness of some verbal subgroups in profinite groups ⋮ On finiteness of verbal subgroups
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