Conciseness in compact \(R\)-analytic groups

DOI10.1016/j.jalgebra.2023.02.025OpenAlexW4323322021MaRDI QIDQ2698471

Andoni Zozaya

Publication date: 24 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.02.025

zbMATH Keywords

profinite groupsgroup wordconciseness\(R\)-analytic groupsstrong conciseness

Mathematics Subject Classification ID

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) General properties and structure of other Lie groups (22E20) Limits, profinite groups (20E18)

Cites Work

• On conciseness of words in profinite groups.
• On the verbal width of finitely generated pro-\(p\) groups.
• On linear just infinite pro-\(p\) groups
• A topological Tits alternative.
• On linearity of finitely generated \(R\)-analytic groups.
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Strong conciseness in profinite groups
• Words of Engel type are concise in residually finite groups
• Analytic groups over general pro-p domains
• Finiteness Conditions for Verbal Subgroups
• On the Structure and Ideal Theory of Complete Local Rings
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