On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree

DOI10.3836/TJM/1502179326zbMath1480.11141OpenAlexW3120416639MaRDI QIDQ1984024

Humio Ichimura, Hiroki Sumida-Takahashi

Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.3836/tjm/1502179326

zbMATH Keywords

class-groupimaginary cyclic feld

Mathematics Subject Classification ID

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

Related Items (2)

Biographical Sketch of Professor Humio Ichimura ⋮ On the class groups of certain imaginary cyclic fields of 2-power degree

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quadratic number fields with cyclic 2-classgroups
• Divisibility by 16 of class number of quadratic fields whose 2-class groups are cyclic
• The generalized Rédei-matrix
• Cyclotomic Z//2-extensions of J-fields
• On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\)
• The Iwasawa conjecture for totally real fields
• Class groups under relative quadratic extensions
• 8-RANKS OF CLASS GROUPS OF IMAGINARY QUADRATIC NUMBER FIELDS AND THEIR DENSITIES
• ANOTHER CASE OF A SCHOLZ'S THEOREM ON CLASS GROUPS
• On the Existence of Fields Governing the 2-Invariants of the Classgroup of Q(√dp) as p Varies
• Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.
• On the Class Number of a Relatively Cyclic Number Field
• Lectures on P-Adic L-Functions. (AM-74)

This page was built for publication: On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree