Duality theorems for Γ-extensions of algebraic number fields
Compositio Mathematica, Tome 55 (1985) no. 3, pp. 333-381. 
@article{CM_1985__55_3_333_0,
     author = {Wingberg, Kay},
     title = {Duality theorems for $\Gamma $-extensions of algebraic number fields},
     journal = {Compositio Mathematica},
     pages = {333--381},
     publisher = {Martinus Nijhoff Publishers},
     volume = {55},
     number = {3},
     year = {1985},
     zbl = {0608.12012},
     language = {en},
     url = {http://www.numdam.org/item/CM_1985__55_3_333_0/}
}
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Wingberg, Kay. Duality theorems for $\Gamma $-extensions of algebraic number fields. Compositio Mathematica, Tome 55 (1985) no. 3, pp. 333-381. http://www.numdam.org/item/CM_1985__55_3_333_0/

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