On Subgroups of the Nottingham Group of Positive Hausdorff Dimension

DOI10.1080/00927870601041532zbMath1127.20024OpenAlexW2327870028MaRDI QIDQ3430273

Mikhail V. Ershov

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601041532

zbMATH Keywords

finitely generated subgroupsHausdorff dimensionpro-\(p\) groupsNottingham groupjust-infinite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Ramification and extension theory (11S15) Linear algebraic groups over local fields and their integers (20G25) Limits, profinite groups (20E18)

Related Items (3)

Hausdorff dimension in \(R\)-analytic profinite groups ⋮ Algebra, geometry, and topology of the substitution group of formal power series ⋮ Artin-Hasse exponential mapping, algebraic groups in positive characteristic, and the Nottingham group.

Cites Work

• Compact subgroups of linear algebraic groups
• Subgroups of the Nottingham group
• Index-subgroups of the Nottingham group.
• New horizons in pro-\(p\) groups
• On linear just infinite pro-\(p\) groups
• Some hereditarily just infinite subgroups of \(\mathcal I\).
• New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group.
• Automorphisms of the Nottingham group
• SYMMETRIC GROUPS AS PRODUCTS OF ABELIAN SUBGROUPS
• Dimension and randomness in groups acting on rooted trees
• The Fesenko groups have finite width
• Subgroups and subrings of profinite rings
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
• On just infinite pro-p-groups and arithmetically profinite extensions of local fields
• The Norm 1 Group of -Adic Division Algebra

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