On the 2-class field towers of some imaginary quartic cyclic number fields
Volume 158 / 2019
Colloquium Mathematicum 158 (2019), 103-118
MSC: 11R11, 11R16, 11R29, 11R32, 11R37.
DOI: 10.4064/cm7690-10-2018
Published online: 23 July 2019
Abstract
For some imaginary quartic cyclic number fields with $2$-class group of type $(2, 2, 2)$, we prove that their Hilbert $2$-class field towers are finite.
