Strong conciseness in profinite groups

DOI10.1112/jlms.12342OpenAlexW3105279651MaRDI QIDQ3389184

Eloisa Detomi, Benjamin Klopsch, P. V. Shumyatskij

Publication date: 10 May 2021

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01344

Mathematics Subject Classification ID

Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items (9)

Strong conciseness of coprime and anti-coprime commutators ⋮ Strong conciseness of Engel words in profinite groups ⋮ 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

Cites Work

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• On the verbal width of finitely generated pro-\(p\) groups.
• Compact torsion groups and finite exponent
• On varieties arising from the solution of the restricted Burnside problem
• On profinite groups with commutators covered by countably many cosets
• On profinite groups with word values covered by nilpotent subgroups
• On bounded conciseness of words in residually finite groups
• On rational and concise words.
• Group Laws Implying Virtual Nilpotence
• On Outer-Commutator Words
• Marginal Subgroup Properties for Outer Commutator Words

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