On the Existence of Fields Governing the 2-Invariants of the Classgroup of Q(√dp) as p Varies

DOI10.2307/2007707zbMath0523.12002OpenAlexW4231040269MaRDI QIDQ3674773

Harvey Cohn, Jeffrey C. Lagarias

Publication date: 1983

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007707

zbMATH Keywords

2-class groupArtin symbol2-invariantsnarrow ring class groupsplitting of idealstrict weak class group

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Iwasawa theory (11R23)

Related Items (13)

On the distribution of \(\mathrm{Cl}(K)[l^\infty\) for degree \(l\) cyclic fields] ⋮ On the 2-primary part of tame kernels of real quadratic fields ⋮ Galois groups of tamely ramified \(p\)-extensions ⋮ On the class groups of certain imaginary cyclic fields of 2-power degree ⋮ On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\) ⋮ Redei reciprocity, governing fields and negative Pell ⋮ On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree ⋮ Joint distribution of spins ⋮ DISTRIBUTION OF GALOIS GROUPS OF MAXIMAL UNRAMIFIED 2-EXTENSIONS OVER IMAGINARY QUADRATIC FIELDS ⋮ The 16-rank of \(\mathbb{Q}(\sqrt{-p})\) ⋮ Spins of prime ideals and the negative Pell equation ⋮ Kuroda's formula and arithmetic statistics ⋮ The 4-class ranks of quadratic fields

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