Galois Groups of Maximal p-Extensions

DOI10.2307/2154057zbMath0769.12003OpenAlexW4245108605MaRDI QIDQ4015885

Roger Ware

Publication date: 7 December 1992

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

Full work available at URL: https://doi.org/10.2307/2154057

zbMATH Keywords

relationsgeneratorsBrauer groupcohomology ringcyclic algebrametabelian Galois grouppro-\(p\) extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Limits, profinite groups (20E18)

Related Items (23)

Class field theory for strictly quasilocal fields with Henselian discrete valuations ⋮ Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Henselian valued quasi-local fields with totally indivisible value groups ⋮ ON THE GALOIS COHOMOLOGICAL DIMENSIONS OF STABLE FIELDS WITH HENSELIAN VALUATIONS ⋮ Detecting fast solvability of equations via small powerful Galois groups ⋮ Compatible valuations and generalized Milnor 𝐾-theory ⋮ On hereditarily self-similar \(p\)-adic analytic pro-\(p\) groups ⋮ A Galois-theoretic characterization of \(p\)-adically closed fields ⋮ Galois-theoretic features for 1-smooth pro-p groups ⋮ On Brauer \(p\)-dimensions and absolute Brauer \(p\)-dimensions of Henselian fields ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Profinite groups with a cyclotomic \(p\)-orientation ⋮ LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD ⋮ Galois module structure of \(p\)th-power classes of extensions of degree \(p\) ⋮ The Kummerian property and maximal pro-\(p\) Galois groups ⋮ Finite quotients of Galois pro-\(p\) groups and rigid fields. ⋮ On the residue fields of Henselian valued stable fields ⋮ Abelian subgroups of pro-$p$ Galois groups ⋮ The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields ⋮ Relations in the maximal pro-𝑝 quotients of absolute Galois groups ⋮ Two families of pro-\(p\) groups that are not absolute Galois groups ⋮ On pro-\(p\) groups with quadratic cohomology ⋮ Finitely generated pro-\(p\) Galois groups of \(p\)-Henselian fields

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