On just infinite pro-p-groups and arithmetically profinite extensions of local fields

DOI10.1515/crll.1999.098zbMath0997.11107arXivmath/9802092OpenAlexW2963472887MaRDI QIDQ4933675

I. B. Fesenko

Publication date: 12 January 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9802092

zbMATH Keywords

Galois grouparithmetically profinite extensions of \({\mathfrak p}\)-adic fieldsCamina's theoremCoates-Greenberg's problemFontaine-Wintenberger's theory of fields of normshereditarily just infinite pro-\(p\)-groups

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Ramification and extension theory (11S15) Limits, profinite groups (20E18)

Related Items (17)

Groups with identities ⋮ Some hereditarily just infinite subgroups of \(\mathcal I\). ⋮ New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group. ⋮ Automata and finite order elements in the Nottingham group ⋮ An Introduction to p-Adic Hodge Theory ⋮ Geometric and analytic structures on the higher adèles ⋮ Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields ⋮ Index-subgroups of the Nottingham group. ⋮ On topological properties of the formal power series substitution group ⋮ Class field theory, its three main generalisations, and applications ⋮ Automorphisms of local fields of characteristic \(p\) ⋮ Algebra, geometry, and topology of the substitution group of formal power series ⋮ Commutative substitutions of formal power series ⋮ Abstract commensurators of profinite groups ⋮ Some cases of the Fontaine-Mazur conjecture. II ⋮ On Subgroups of the Nottingham Group of Positive Hausdorff Dimension ⋮ Artin-Hasse exponential mapping, algebraic groups in positive characteristic, and the Nottingham group.

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