On profinite groups admitting a word with only few values

DOI10.1007/S00605-024-01967-XMaRDI QIDQ6617981

Pavel Shumyatsky

Publication date: 11 October 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

profinite groupsword problemsconcisenessstrong conciseness

Mathematics Subject Classification ID

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

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• Bounding the order of a verbal subgroup in a residually finite group
• A note on strong conciseness in virtually nilpotent profinite groups
• Strong conciseness in profinite groups
• Words of Engel type are concise in residually finite groups
• Profinite Groups
• Strong conciseness of Engel words in profinite groups
• Strong conciseness of coprime commutators in profinite groups
• On conciseness of the word in Olshanskii's example

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