Corps quadratiques dont le 5-rang du groupe des classes est >=3

1992/06/16 by Jean-Francois Mestre, Mestre, Jean-Francois
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9206006

4 pages, LaTeX. (A paraitre dans les Comptes-Rendus de l'Acad. des Sciences de Paris.)

arxiv created 1992/06/16 · arxiv updated 2009/11/30

Abstract

We prove the existence of infinitely many real and imaginary fields whose 5-rank of the class group is >=3.

Related

• Class groups of imaginary quadratic fields of 3-rank at least 2
• Quadratic fields with a class group of large 3-rank
• The 4-class group of real quadratic number fields
• Imaginary multiquadratic number fields of exponent 3 and 5
• A note on certain real quadratic fields with class number upto three