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An application of the generalized norm residue symbol. (English) Zbl 0108.04302

11R32 Galois theory
Zbl 0023.29203
Full Text: DOI
[1] C. Chevalley, Sur la théorie du corps de classes dans les corps finis et corps locaux, Journ. of Coll. of Sciences, Tokyo, II, vol. 9 (1933). · JFM 59.0190.01
[2] C. Chevalley, La théorie du corps de classes, Ann. of Math. (2) 41 (1940), 394 – 418 (French). · JFM 66.0122.02
[3] Arnold Scholz, Totale Normenreste, die keine Normen sind, als Erzeuger nichtabelscher Körpererweiterungen. II, J. Reine Angew. Math. 182 (1940), 217 – 234 (German). · Zbl 0023.29203
[4] André Weil, Sur la théorie du corps de classes, J. Math. Soc. Japan 3 (1951), 1 – 35 (French). · Zbl 0044.02901
[5] George Whaples, Non-analytic class field theory and Grünwald’s theorem, Duke Math. J. 9 (1942), 455 – 473. · Zbl 0063.08226
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