On linear just infinite pro-\(p\) groups

DOI10.1016/S0021-8693(02)00024-8zbMath1018.20022OpenAlexW2038072645MaRDI QIDQ1858199

Andrei Jaikin-Zapirain

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00024-8

zbMATH Keywords

subgroups of finite indexhereditarily just infinite groupsjust infinite pro-\(p\) groupslinear pro-\(p\) groups

Mathematics Subject Classification ID

Linear algebraic groups over local fields and their integers (20G25) Limits, profinite groups (20E18)

Related Items

New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group. ⋮ Conciseness in compact \(R\)-analytic groups ⋮ Generators and commutators in finite groups; abstract quotients of compact groups. ⋮ On linearity of finitely generated \(R\)-analytic groups. ⋮ Standard Hausdorff spectrum of compact \(\mathbb{F}_pt\)-analytic groups ⋮ Pro-\(p\) groups with few normal subgroups. ⋮ On Subgroups of the Nottingham Group of Positive Hausdorff Dimension

Cites Work

• Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices
• Compact subgroups of linear algebraic groups
• A non-abelian free pro-\(p\) group is not linear over a local field
• On some \(\Lambda\)-analytic pro-\(p\) groups
• Linear pro-\(p\)-groups of finite width
• Normal subgroups in substitution groups of formal power series
• New horizons in pro-\(p\) groups
• A.D. Alexandrov spaces with curvature bounded below
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