On the Number of Galois p-Extensions of a Local Field

DOI10.2307/2161262zbMath0830.11045OpenAlexW4236671550MaRDI QIDQ4845967

Masakazu Yamagishi

Publication date: 1 February 1996

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

Full work available at URL: https://doi.org/10.2307/2161262

zbMATH Keywords

Galois extensions\(p\)-groupfinite Galois groupfree pro-\(p\)-group

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20)

Related Items (12)

On the number of certain Galois extensions of local fields ⋮ The number of modular extensions of odd degree of a local field ⋮ Dihedral extensions of degree 8 over the rational \(p\)-adic fields ⋮ The number of semidihedral or modular extensions of a local field. ⋮ Description of Galois unipotent extensions ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ The inverse Galois problem for \(p\)-adic fields ⋮ Variation of the reduction type of elliptic curves under small base change with wild ramification ⋮ On the computation of all extensions of a 𝑝-adic field of a given degree ⋮ On zeta functions of modular representations of a discrete group. ⋮ Counting Galois \(\mathbb{U}_4(\mathbb{F}_p)\)-extensions using Massey products ⋮ On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification

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