Artin-Hasse exponential mapping, algebraic groups in positive characteristic, and the Nottingham group.

DOI10.1134/S0001434615010010zbMath1341.20024OpenAlexW1983420985MaRDI QIDQ2353706

Ya. V. Abramov

Publication date: 16 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615010010

zbMATH Keywords

Witt vectorsNottingham groupgroups of formal power seriesalgebraically closed fieldsArtin-Hasse exponential mappingconnected Abelian subgroupsprounipotent radical

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Limits, profinite groups (20E18)

Cites Work

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• Proalgebraic groups
• Subgroups of the Nottingham group
• Index-subgroups of the Nottingham group.
• New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group.
• Automorphisms of the Nottingham group
• Witt groups and unipotent elements in algebraic groups
• On Subgroups of the Nottingham Group of Positive Hausdorff Dimension
• The number of conjugacy classes in some quotients of the Nottingham group
• Algebra, geometry, and topology of the substitution group of formal power series
• On just infinite pro-p-groups and arithmetically profinite extensions of local fields

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