On certain quotients of p-class tower groups of quadratic fields

2020/01/06 by Michael R. Bush, Bush, Michael R.
Mathematics · #11R11 #11R29 #11R32 (Primary) #11R37 #20D15 #20E18 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2001.01396

openalex publication_date 2020/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A characterization of the quotients of p-class tower groups of quadratic fields by terms in the lower p-central series plays an important role in the formulation of conjectures by Boston, Hajir and the author about the distribution of such groups as the base field varies. In this paper, another equivalent criterion is given which resolves an issue that arose as part of the group-theoretical calculations carried out in relation to these conjectures.

Citations

• Heuristics for p-class towers of real quadratic fields

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