On the class groups of certain imaginary cyclic fields of 2-power degree

DOI10.2969/jmsj/86438643OpenAlexW4280495319MaRDI QIDQ2165755

Humio Ichimura, Hiroki Sumida-Takahashi

Publication date: 23 August 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/86438643

zbMATH Keywords

ideal class group2-partimaginary cyclic field

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (1)

Biographical Sketch of Professor Humio Ichimura

Cites Work

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• 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
• On cyclotomic \(\mathbb{Z}_2\)-extensions of imaginary quadratic fields
• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree
• Relative class numbers inside the \(p\)th cyclotomic field
• On the Existence of Fields Governing the 2-Invariants of the Classgroup of Q(√dp) as p Varies
• The Cyclotomic Z 2 -Extension of Imaginary Quadratic Fields
• Prime Factors of Cyclotomic Class Numbers
• Minus class groups of the fields of the 𝑙-th roots of unity
• On the 16-Rank of Class Groups of ℚ(√-2p) for Primes p ≡ 1 mod 4
• On the Class Number of a Relatively Cyclic Number Field

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