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On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths (2504.20787v1)
Published 28 Apr 2025 in math.NT
Abstract: We determine precisely when the length of the narrow 2-class field tower is $2$ for most of those real quadratic number fields whose discriminant is not a sum of two squares and for which their 2-class groups are elementary of order $4$.
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