Explicit embeddings of finite abelian \(p\)-groups in the group \(\mathcal J(\mathbb F_p)\).

DOI10.1134/S0001434615010083zbMath1329.20036OpenAlexW1963671916MaRDI QIDQ2353714

D. D. Kiselev

Publication date: 16 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615010083

zbMATH Keywords

finite Abelian groupsformal power seriescommutative ringsNottingham groupexplicit embeddingsJennings groupfinitely presented pro-\(p\) groupstotally ramified field extensions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Finite nilpotent groups, (p)-groups (20D15) Ramification and extension theory (11S15) Limits, profinite groups (20E18)

Related Items

Automata and finite order elements in the Nottingham group ⋮ Ultrasoluble coverings of some nilpotent groups by a cyclic group over number fields and related questions ⋮ Minimalp-extensions and the embedding problem

Cites Work

• Subgroups of the Nottingham group
• Formal complex multiplication in local fields
• Algebra, geometry, and topology of the substitution group of formal power series
• Substitution Groups of Formal Power Series