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Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. (English) Zbl 0334.12019

MSC:
11R37 Class field theory
11R11 Quadratic extensions
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[1] Dirichlet, G.Lejeune, Einige neue Sätze über unbestimmte gleichungen, () · JFM 35.0312.01
[2] Furtwängler, P., Über das verhalten der ideale des grundkörpers im klassenkörper, Monatsh. math. phys., 27, 1-15, (1916) · JFM 46.0246.01
[3] Gorenstein, D., ()
[4] Hilbert, D., (), Zahlentheorie
[5] Iwasawa, K., A note on the group of units of an algebraic number field, J. math. pures appl., 35, 189-192, (1956) · Zbl 0071.26504
[6] Kisilevsky, H., Some results related to Hilbert’s theorem 94, J. number theory, 2, 199-206, (1970) · Zbl 0216.04701
[7] Rédei, L.; Reichardt, H., Die anzahl der durch 4 teilbaren invarianten der klassengruppe eines beliebigen quadratischen zahlkörpers, J. reine angew. math., 170, 69-74, (1933) · Zbl 0007.39602
[8] Taussky, O., A remark on the class field tower, J. London math. soc., 12, 82-85, (1937) · JFM 63.0144.03
[9] Taussky, O., A remark concerning Hilbert’s theorem 94, J. reine angew. math., 239/240, 435-438, (1970) · Zbl 0186.09002
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