Constructions using Galois Theory
Number Theory
2022-10-28 v3
Abstract
We describe algorithms to compute fixed fields, splitting fields and towers of radical extensions without using polynomial factorisation in towers or constructing any field containing the splitting field, instead extending Galois group computations for this task. We also describe the computation of geometric Galois groups (monodromy groups) and their use in computing absolute factorizations.
Keywords
Cite
@article{arxiv.2010.01281,
title = {Constructions using Galois Theory},
author = {Claus Fieker and Nicole Sutherland},
journal= {arXiv preprint arXiv:2010.01281},
year = {2022}
}
Comments
Various editing improvements