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arXiv · 2010.01281

Constructions using Galois Theory

Claus Fieker·Nicole Sutherland
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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.

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Claus Fieker, Nicole Sutherland. 2020-10-03. Constructions using Galois Theory. https://arxiv.org/abs/2010.01281

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