Abelian subgroups of pro-$p$ Galois groups

DOI10.1090/S0002-9947-98-02063-7zbMath0999.12004OpenAlexW1957749907MaRDI QIDQ4382368

Jochen Koenigsmann, Antonio José Engler

Publication date: 30 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02063-7

zbMATH Keywords

\(p\)-Henselian valuations\(p\)-rigidstrongly \(p\)-rigid

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) General valuation theory for fields (12J20)

Related Items (14)

A recursive description of pro-\(p\) Galois groups ⋮ Detecting fast solvability of equations via small powerful Galois groups ⋮ Galois-theoretic features for 1-smooth pro-p groups ⋮ Commuting-liftable subgroups of Galois groups. II ⋮ On Brauer \(p\)-dimensions and absolute Brauer \(p\)-dimensions of Henselian fields ⋮ Abelian-by-central Galois groups of fields I: A formal description ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Profinite groups with a cyclotomic \(p\)-orientation ⋮ On the Hom-form of Grothendieck's birational anabelian conjecture in positive characteristic ⋮ Finite quotients of Galois pro-\(p\) groups and rigid fields. ⋮ Abelian-by-central Galois groups of fields. II: Definability of inertia/decomposition groups ⋮ The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields ⋮ Two families of pro-\(p\) groups that are not absolute Galois groups ⋮ Relative Brauer group and pro-p Galois group of pre-p-henselian fields

Cites Work

• Unnamed Item
• Lectures on formally real fields
• Rigid elements, valuations, and realization of Witt rings
• Characterization of fans and hereditarily pythagorean fields
• Fields with henselian valuation rings
• Fields with two incomparable Henselian valuation rings
• When are Witt rings group rings? II
• On Grothendieck's conjecture of birational anabelian geometry
• \(p\)-Henselian fields
• Galois Groups of Maximal p-Extensions
• On henselizations of valued fields
• The Divisors of $x^{2m} + x$ of Constant Derivatives and Degree $2^{m - 2}$
• From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).
• Abelian Subgroups of Pro-2 Galois Groups
• Brauer Group Analogues of Results Relating the Witt Ring to Valuations and Galois Theory

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