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A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower |
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| Authors: | A Mouhib |
| Institution: | 1.Université Mohammed Ben Abdellah, Fes LSI, Sciences and Engineering Laboratory, Polydisciplinary Faculty of Taza,Taza-Gare,Morocco |
| Abstract: | We show that a positive proportion of real and imaginary quadratic number fields with 2-class rank equal to 2 have 4-rank equal to 1 or 2 and infinite Hilbert 2-class field tower. |
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