Published: 1960 Received: May 04, 1959Available on J-STAGE: August 29, 2006Accepted: -
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Date of correction: August 29, 2006Reason for correction: -Correction: CITATIONDetails: Right : 1) Cf. K. Iwasawa, On the theory of cyclotomic fields, Ann. of Math., 70 (1959), 530-561. 2) Cf. K. Iwasawa, On Galois groups of local fields, Trans. Amer. Math. Soc., 80 (1955), 448-469. 3) Cf. 1. c. 1), Theorem 19. 4) For compact completions of (discrete) groups, cf. 1. c. 2), 1.3. We also notice that a compact topological group is called p-primary (p-complementary) if and only if it is the inverse limit of a family of finite groups whose orders are powers of p (prime to p). 5) Cf. 1. c. 2), 3.1. 6) Cf. 1. c. 2), Lemma 5. 7) Cf. 1. c. 6). 8) Cf. 1. c. 1), Theorem 18.
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