On p-class groups of cyclic extensions of prime degree p of certain cyclotomic fields

DOI10.1007/BF02568360zbMath0716.11053OpenAlexW2911756980MaRDI QIDQ752760

Frank III Gerth

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155571

zbMATH Keywords

cyclic extensions of cyclotomic fieldsp-class group

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29)

Related Items

Cohen-Lenstra heuristic and roots of unity

Cites Work

• Densities for Ranks of Certain Parts of p-Class Groups
• An Application of Matrices over Finite Fields to Algebraic Number Theory
• Densities for 3-class ranks in certain cubic extensions.
• Counting certain number fields with prescribed l-class numbers.
• The Genus Field and Genus Number in Algebraic Number Fields
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