The narrow 2-class field tower of some real quadratic number fields
Volume 194 / 2020
Acta Arithmetica 194 (2020), 187-217
MSC: Primary 11R29; Secondary 20D15.
DOI: 10.4064/aa190517-23-8
Published online: 28 February 2020
Abstract
We determine some properties of the narrow 2-class field tower of those real quadratic number fields with discriminant a sum of two squares and for which their 2-class groups are elementary of rank $2$.