Kubota, Tomio On the field extension by complex multiplication. (English) Zbl 0146.27902 Trans. Am. Math. Soc. 118, 113-122 (1965). Reviewer: H. Helling Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 13 Documents MSC: 11R18 Cyclotomic extensions 11G15 Complex multiplication and moduli of abelian varieties Keywords:number theory PDF BibTeX XML Cite \textit{T. Kubota}, Trans. Am. Math. Soc. 118, 113--122 (1965; Zbl 0146.27902) Full Text: DOI References: [1] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. · Zbl 0057.01901 [2] Tomio Kubota, Galois group of the maximal abelian extension over an algebraic number field, Nagoya Math. J. 12 (1957), 177 – 189. · Zbl 0079.26803 [3] Heinrich-Wolfgang Leopoldt, Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math. 209 (1962), 54 – 71. · Zbl 0204.07101 · doi:10.1515/crll.1962.209.54 · doi.org [4] Goro Shimura, On the class-fields obtained by complex multiplication of abelian varieties, Osaka Math. J. 14 (1962), 33 – 44. · Zbl 0116.02903 [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. · Zbl 0112.03502 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.