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On the structure of certain Galois groups. (English) Zbl 0403.12004


MSC:

11R18 Cyclotomic extensions
11R32 Galois theory

Citations:

Zbl 0285.12008

References:

[1] Brumer, A.: On the units of algebraic number fields. Mathematika14, 121–124 (1967) · Zbl 0171.01105 · doi:10.1112/S0025579300003703
[2] Coates, J., Wiles, A.: Kummer’s criterion for Hurwitz numbers. Proceedings of the International Conference on Algebraic Number Theory, Kyoto, Japan (1976) · Zbl 0369.12009
[3] Greenberg, R.: The Iwasawa invariants of {\(\Gamma\)}-extensions of a fixed number field. Amer. J. Math.XCV, 204–214 (1973) · Zbl 0268.12005 · doi:10.2307/2373652
[4] Greenberg, R.: On the Iwasawa invariants of totally real number fields. Amer. J. Math.98, 263–284 (1976) · Zbl 0334.12013 · doi:10.2307/2373625
[5] Greenberg, R.: Onp-adicL-functions and cyclotomic fields II. Nagoya Math. J.67, 139–158 (1977) · Zbl 0373.12007
[6] Harris, M.: Onp-adic representations arising from descent on abelian varieties. Harvard thesis (1977)
[7] Iwasawa, K.: On {\(\Gamma\)}-extensions of algebraic number fields. Bull. Amer. Math. Soc.65, 183–226 (1959) · Zbl 0089.02402 · doi:10.1090/S0002-9904-1959-10317-7
[8] Iwasawa, K.: OnZ l -extensions of algebraic number fields. Ann. of Math.98, 246–326 (1973) · Zbl 0285.12008 · doi:10.2307/1970784
[9] Serre, J.-P.: Classes de corps cyclotomiques. Sém. Bourbaki174 (1958)
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.