Generalized invariant classes

DOI10.2969/jmsj/04630467zbMath0816.11057OpenAlexW2016825959MaRDI QIDQ1890833

Georges Gras

Publication date: 23 July 1995

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

Full work available at URL: https://doi.org/10.2969/jmsj/04630467

zbMATH Keywords

class groupsexplicit formulaabelian extension\(p\)-cyclic extensionclass-field theorygeneralized \(p\)-class group

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (12)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ No general Riemann-Hurwitz formula for relative \(p\)-class groups ⋮ Logarithmic classes in the narrow sense ⋮ On local and global bounds for Iwasawa \(\lambda\)-invariants ⋮ On the λ-stability of p-class groups along cyclic p-towers of a number field ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ The Chevalley-Gras formula over global fields ⋮ Generalized ambiguous logarithmic classes ⋮ Making ideals principal by absolute abelian extensions ⋮ 2-group of positive classes of a number field and wild kernel of \(K\)-theory. ⋮ On two conjectures of Gross for large vanishing orders ⋮ On pseudo-null Iwasawa modules

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