On the field extension by complex multiplication
Author:
Tomio Kubota
Journal:
Trans. Amer. Math. Soc. 118 (1965), 113-122
MSC:
Primary 10.68; Secondary 14.51
DOI:
https://doi.org/10.1090/S0002-9947-1965-0190144-8
MathSciNet review:
0190144
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References | Similar Articles | Additional Information
- [1] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
- [2] Tomio Kubota, Galois group of the maximal abelian extension over an algebraic number field, Nagoya Math. J. 12 (1957), 177–189. MR 98077
- [3] Heinrich-Wolfgang Leopoldt, Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math. 209 (1962), 54–71. MR 139602, https://doi.org/10.1515/crll.1962.209.54
- [4] Goro Shimura, On the class-fields obtained by complex multiplication of abelian varieties, Osaka Math. J. 14 (1962), 33–44. MR 170893
- [5] Goro Shimura and Yutaka Taniyama, Complex multiplication of abelian varieties and its applications to number theory, Publications of the Mathematical Society of Japan, vol. 6, The Mathematical Society of Japan, Tokyo, 1961. MR 0125113
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1965-0190144-8
Article copyright:
© Copyright 1965
American Mathematical Society