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The narrow 2-class field tower of some real quadratic number fields

Volume 194 / 2020

Elliot Benjamin, C. Snyder Acta Arithmetica 194 (2020), 187-217 MSC: Primary 11R29; Secondary 20D15. DOI: 10.4064/aa190517-23-8 Published online: 28 February 2020


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 $2$.


  • Elliot BenjaminHarold Abel School of Psychology
    Capella University
    Minneapolis, MN 55402, U.S.A.
  • C. SnyderDepartment of Mathematics and Statistics
    Orono, ME 04469, U.S.A.

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