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arXiv · 1606.01140

The Complexity of Computing all Subfields of an Algebraic Number Field

Jonas Szutkoski·Mark van Hoeij
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Abstract

For a finite separable field extension K/k, all subfields can be obtained by intersecting so-called principal subfields of K/k. In this work we present a way to quickly compute these intersections. If the number of subfields is high, then this leads to faster run times and an improved complexity.

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BibTeXRIS

Jonas Szutkoski, Mark van Hoeij. 2016-06-03. The Complexity of Computing all Subfields of an Algebraic Number Field. https://arxiv.org/abs/1606.01140

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