C. Snyder

collaborators

4 papers

math.NT2025

On the Narrow $2$ -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 $2$ for most of those real quadratic number fields whose discriminant is not a sum of two squares and fo…

math.NT2025

On the Narrow $2$ -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…

math.NT2025

The Computation of Gal $(k^{\infty} / k)$ for some Complex Quadratic Number Fields $k$

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 $k$ with $2$ -class field tower of length $2$ .

math.NT2025

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( $C_{8}$ ) that are unramified over a complex quadratic subfield. The Galois group is either the semi-dihedral group or the modular gro…

On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths

On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks

The Computation of Gal(k∞/k) for some Complex Quadratic Number Fields k

Extensions with Galois group Hol(C8) unramified over a complex quadratic number field

On the Narrow $2$ -Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths

On the Narrow $2$ -Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks

The Computation of Gal $(k^{\infty} / k)$ for some Complex Quadratic Number Fields $k$