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arXiv · 2504.20787

On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths

Elliot Benjamin·C. Snyder
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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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Elliot Benjamin, C. Snyder. 2025-04-28. On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths. https://arxiv.org/abs/2504.20787

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