On conciseness of the word in Olshanskii's example

DOI10.1007/S00013-023-01955-XarXiv2307.14939OpenAlexW4390839041WikidataQ130030625 ScholiaQ130030625MaRDI QIDQ6198029

Unnamed Author, P. V. Shumyatskij

Publication date: 20 February 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.14939

zbMATH Keywords

verbal subgroupprofinite groupresidually finite groupconcise wordword values

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) Limits, profinite groups (20E18)

Cites Work

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• On words that are concise in residually finite groups.
• Nonsoluble and non-\(p\)-soluble length of finite groups.
• On bounded conciseness of words in residually finite groups
• On bounded conciseness of Engel-like words in residually finite groups
• On the structure of compact torsion groups
• On finiteness of some verbal subgroups in profinite groups
• Words of Engel type are concise in residually finite groups. II.
• On rational and concise words.
• A note on strong conciseness in virtually nilpotent profinite groups
• Outer commutator words are uniformly concise
• Strong conciseness in profinite groups
• On groups with bounded conjugacy classes
• Words of Engel type are concise in residually finite groups
• Strong conciseness of Engel words in profinite groups
• Strong conciseness of coprime commutators in profinite groups

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