Duality theorems for $\Gamma$-extensions of algebraic number fields

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1. [1] N. Bourbaki: Algebre commutative. Paris: Herman (1969). 
2. [2] J. Coates: On K2 and some classical conjectures in algebraic number theory. Ann. of math.95 (1972) 99-116. Zbl0245.12005MR360523
3. [3] J. Coates: K - theory and Iwasawa's analogue of the Jacobian. Algebraic K-Theory, II (Seattle1972). Springer Lecture notes in maths. 342 (1973) 502-520. Zbl0284.12006MR406977
4. [4] J. Coates, S. Lichtenbaum, S. On l-adic zeta functions. Ann. of Math.98 (1973) 498-550. Zbl0279.12005MR330107
5. [5] R. Greenberg, On the Iwasawa invariants of totally real number fields. Amer. J. math.98 (1976) 263-284. Zbl0334.12013MR401702
6. [6] R. Greenberg, On the structure of certain Galois groups. Invent math.47 (1978) 85-99. Zbl0403.12004MR504453
7. [7] K. Grunberg, Cohomological topics in group theory. Springer Lecture notes in maths. 143 (1970). Zbl0205.32701MR279200
8. [8] K. Haberland, Galois cohomology of algebraic number fields. Berlin: Deutscher Verlag der Wissenschaften (1978). Zbl0418.12004MR519872
9. [9] K. Iwasawa, On Z l-extensions of algebraic number fields. Ann. of math.98 (1973) 246-326. Zbl0285.12008MR349627
10. [10] K. Iwasawa, On the μ-invariants of Z l-extensions. Number theory, algebraic geometry and commutative algebra (in honor of Y. Akizuki). Kinokuniya. Tokyo (1973) 1-11. Zbl0281.12005
11. [11] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields. Tôhoku Math. J.33 (1981) 263-288. Zbl0468.12004MR624610
12. [12] A.V. Jakovlev, The Galois group of the algebraic closure of a local field. Math. USSR - Izv.2 (1968) 1231-1269. Zbl0194.35401MR236155
13. [13] U. Jannsen, Über die Galoismodulstruktur und die absolute Galoisgruppe p-adischer Zahlkörper. Dissertation. Hamburg (1980). Zbl0535.12012
14. [14 U. Jannsen, Über Galoisgruppen lokaler Körper. Invent. math.70 (1982) 53-69. Zbl0534.12009MR679773
15. [15] U. Jannsen; K. Wingberg, Die p-Vervollständigung der multiplikativen Gruppe einer p-Erweiterung eines irregulären p-adischen Zahlkörpers. J. für reine angew. Math.307/308, (1979) 399-410. Zbl0396.12015MR534234
16. [16] Y. Kida, l-extensions of CM-fields and cyclotomic invariants. J. Number theory12 (1980) 519-528. Zbl0455.12007MR599821
17. [17] L. Kuz'min, Some duality theorems for cyclotomic Γ-extensions over algebraic number fields of CM-typeMath. USSR-Izv.14 (1980) 441-498. Zbl0448.12007
18. [18] S. Lang.Cyclotomic fields. Graduate texts in maths. New York-Heidelberg- Berlin: Springer (1978). Zbl0395.12005MR485768
19. [19] T. Nakayama, On modules of trivial cohomology over a finite group. Illinois J. Math.1 (1957) 36-43. Zbl0207.33601MR84014
20. [20] O. Neumann, On p-closed number fields and an analogue of Riemann's existence theorem. In: A. Pröhlich (ed.) "Algebraic number fields ". London: Acad. press (1977) 625-647. Zbl0393.12015MR453698
21. [21] P. Schneider, Über gewisse Galoiscohomologiegruppen. Math. Zeitschrift168 (1979) 181-205. Zbl0421.12024MR544704
22. [22] P. Schneider, Die Galoiscohomologie p-adischer Darstellungen über Zahlkörpern. Dissertation. Regensburg (1980). 
23. [23] J-P. Serre, Cohomologie galoisienne. Lecture notes in maths.5 (1964). Zbl0136.02801MR201444
24. [24] R.G. Swan, Induced representaions and projectives modules. Ann. of Math.71 (1960) 552-579. Zbl0104.25102MR138688
25. [25] K. Wingberg, Freie Produktzerlegungen von Galoisgruppen und Iwasawa-Invarianten für p-Erweiterungen von Q. J. für reine und angewandte Math.341 (1983) 111-129. Zbl0501.12014MR697311
26. [26] J.P. Wintenberger, Structure galoisienne de limites projectives d'unités loales. Compos. Math.42 (1980) 89-104. Zbl0414.12008MR594484

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