The Computation of Gal$(k^\infty/k)$ for some Complex Quadratic Number Fields $k$
Number Theory
2025-04-01 v1
Abstract
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 .
Cite
@article{arxiv.2503.23031,
title = {The Computation of Gal$(k^\infty/k)$ for some Complex Quadratic Number Fields $k$},
author = {Elliot Benjamin and Franz Lemmermeyer and Chip Snyder},
journal= {arXiv preprint arXiv:2503.23031},
year = {2025}
}