Enumeration of isomorphism classes of extensions of \(p\)-adic fields.

DOI10.1016/S0022-314X(03)00155-0zbMath1055.11072arXivmath/0110055OpenAlexW1966954412MaRDI QIDQ1421298

Xiang-Dong Hou, Kevin Keating

Publication date: 26 January 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110055

zbMATH Keywords

enumerationlocal fieldisomorphism classclass field theory\(p\)-adic field

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15)

Related Items

The compositum of wild extensions of local fields of prime degree ⋮ The inverse Galois problem for \(p\)-adic fields ⋮ Octic 2-adic fields ⋮ On wild extensions of a \(p\)-adic field ⋮ Extensions of degree \(p^4\) of a \(p\)-adic field ⋮ Extensions of degree \(p^\ell \) of a \(p\)-adic field ⋮ Determination of the number of isomorphism classes of extensions of a \(\mathfrak p\)-adic field ⋮ Lifted codes and lattices from codes over finite chain rings ⋮ On the groups of units of finite commutative chain rings.

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