Illinois Journal of Mathematics

On $2$-class field towers of some real quadratic number fields with $2$-class groups of rank $3$

A. Mouhib

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We construct an infinite family of real quadratic number fields with class group of $2$-$\operatorname{rank} =3$, $4$-$\operatorname{rank} =1$ and finite Hilbert $2$-class field tower.

Article information

Illinois J. Math., Volume 57, Number 4 (2013), 1009-1018.

First available in Project Euclid: 1 December 2014

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Zentralblatt MATH identifier

Primary: 11R29: Class numbers, class groups, discriminants 11R32: Galois theory 11R37: Class field theory


Mouhib, A. On $2$-class field towers of some real quadratic number fields with $2$-class groups of rank $3$. Illinois J. Math. 57 (2013), no. 4, 1009--1018. doi:10.1215/ijm/1417442559.

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