On the class groups of certain imaginary cyclic fields of 2-power degree
Author:
Affiliation:
1. Faculty of Science, Ibaraki University
2. Faculty of Science and Technology, Tokushima University
Publisher
Mathematical Society of Japan (Project Euclid)
Subject
General Mathematics
Reference18 articles.
1. [1] H. Cohn and J. C. Lagarias, On the existence of fields governing the 2-invariants of the classgroup of $\mathbb{Q}(\sqrt{dp})$ as $p$ varies, Math. Comp., 41 (1983), 711–730.
2. [2] P. E. Conner and J. Hurrelbrink, Class Number Parity, Ser. Pure Math., 8, World Scientific, Singapore, 1988.
3. [3] B. Ferrero, The cyclotomic $\mathbb{Z}_{2}$-extension of imaginary quadratic fields, Amer. J. Math., 102 (1980), 447–459.
4. [4] H. Ichimura, Relative class numbers inside the $p$th cyclotomic field, Osaka J. Math., 57 (2020), 949–959.
5. [5] H. Ichimura and H. Sumida-Takahashi, On the class group of an imaginary cyclic field of conductor $8p$ and 2-power degree, Tokyo J. Math., 44 (2021), 157–173.
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1. Biographical Sketch of Professor Humio Ichimura;Mathematical Journal of Ibaraki University;2022
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