The relative class number of certain imaginary abelian fields

DOI10.1007/BF02941380zbMath0699.12015MaRDI QIDQ912915

N. E. Zubov

Publication date: 1988

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

generatorsrelative class numberStickelberger idealgroup indexquadratic extension of cyclotomic field

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items

The relative class number of certain imaginary abelian number fields of odd conductors ⋮ The relative class numbers of certain imaginary abelian number fields and determinants ⋮ A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field ⋮ On the Stickelberger ideal of a quadratic twist of a cyclotomic field ⋮ On the Stickelberger ideal of (2,\dots, 2)-extensions of a cyclotomic number field

Cites Work

• A note on the Stickelberger ideal of conductor level
• Index of irregularity of a prime.
• Another proof of Iwasawa's class number formula
• A Table of the First Factor for Prime Cyclotomic Fields
• Maillet’s determinant
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