Elliot Benjamin Book Collection

NOTE:  This article was published in the Journal of Number Theory, 2015, Issue 154, pp. 118-143. 

On the 2-Class Field Tower Conjecture for Imaginary Quadratic Number Fields

with 2-Class group of Rank 4

                                                                              by Elliot Benjamin, Ph.D.     February, 2015

Abstract  

     We demonstrate the existence of infinitely many new imaginary quadratic number fields k with 2-class group Ck,2of rank 4 such that k has infinite 2-class field tower. In particular, we demonstrate the existence of…..

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