Class Number and Ramification in Number Fields

DOI10.1017/S002776300001120XzbMath0128.26204OpenAlexW1499372654MaRDI QIDQ5336386

Armand Brumer, Michael I. Rosen

Publication date: 1963

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300001120x

zbMATH Keywords

class numbernumber fieldsramification

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29)

Related Items (11)

Totally real bi-quadratic fields with large Pólya groups ⋮ On quadratic Ostrowski extensions of imaginary quadratic fields ⋮ Ostrowski quotients for finite extensions of number fields ⋮ Unimodular Hermitian and skew-Hermitian forms ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ Cubic, quartic and sextic Pólya fields ⋮ Pólya group in some real biquadratic fields ⋮ Existenz von Zahlkörpern mit nicht abbrechendem Klassenkörperturm ⋮ Class number and ramification in fields of algebraic functions ⋮ Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\)

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