New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group.

DOI10.1016/j.jalgebra.2003.08.012zbMath1062.20030OpenAlexW2084898916MaRDI QIDQ1881127

Mikhail V. Ershov

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.08.012

zbMATH Keywords

centralizerslower central seriesNottingham grouppro-\(p\) groups of finite width

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (11)

Normal Zeta Functions of Some pro-pGroups ⋮ Hausdorff dimensions in \(p\)-adic analytic groups ⋮ Just infiniteness of the generalized Nottingham group ⋮ Embedding properties of hereditarily just infinite profinite wreath products ⋮ Algebra, geometry, and topology of the substitution group of formal power series ⋮ On the commensurator of the Nottingham group ⋮ Pro-\(p\) groups with few normal subgroups. ⋮ A pro-\(p\) group with infinite normal Hausdorff spectra ⋮ Abstract commensurators of profinite groups ⋮ On Subgroups of the Nottingham Group of Positive Hausdorff Dimension ⋮ Artin-Hasse exponential mapping, algebraic groups in positive characteristic, and the Nottingham group.

Cites Work

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• Compact subgroups of linear algebraic groups
• Graded subalgebras of affine Kac-Moody algebras
• Narrow algebras and groups
• On some \(\Lambda\)-analytic pro-\(p\) groups
• Subgroups of the Nottingham group
• Linear pro-\(p\)-groups of finite width
• Index-subgroups of the Nottingham group.
• On linear just infinite pro-\(p\) groups
• Automorphisms of the Nottingham group
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
• The number of conjugacy classes in some quotients of the Nottingham group
• On just infinite pro-p-groups and arithmetically profinite extensions of local fields

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