5 papers · 1 filter
On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields: Lengths Heuristics Follow-Up
Elliot Benjamin, Mohamed Mahmoud Chems-Eddin
In this article we continue the investigation of the length of the narrow -class field tower of real quadratic number fields whose discriminants are not a sum of tw…
On the Narrow -Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths
Elliot Benjamin, C. Snyder
We determine precisely when the length of the narrow 2-class field tower is for most of those real quadratic number fields whose discriminant is not a sum of two squares and fo…
On the Narrow -Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks
Elliot Benjamin, C. Snyder
We determine some properties of the narrow 2-class field tower of those real quadratic number fields whose discriminants are not a sum of two squares and for which their 2-class gr…
The Computation of Gal for some Complex Quadratic Number Fields
Elliot Benjamin, Franz Lemmermeyer, Chip Snyder
We determine the Galois group of the 2-class field tower for two particular families of imaginary quadratic number fields with -class field tower of length .
Extensions with Galois group Hol(C8) unramified over a complex quadratic number field
Elliot Benjamin, Franz Lemmermeyer, Chip Snyder
We study normal extensions with Galois group Hol() that are unramified over a complex quadratic subfield. The Galois group is either the semi-dihedral group or the modular gro…