2000 character limit reached
On the Narrow $2$-Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks (2504.20785v1)
Published 27 Apr 2025 in math.NT
Abstract: We determine some properties of the narrow 2-class field tower of those real quadratic number fields whose discriminants are not a sum of two squares and for which their 2-class groups are elementary of order $4$. Here in Part I, we determine precisely which of these fields have the 2-class groups of their narrow 2-Hilbert class fields of rank 2.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.