March 4, 2024Open Access

Non-Abelian extensions of degree p³ and p⁴ in characteristic p>2

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Resumen

This paper describes in terms of Artin-Schreier equations field extensions whose Galois group is isomorphic to any of the four non-cyclic groups of order p³ or the ten non-Abelian groups of order p⁴, p an odd prime, over a field of characteristic p.

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Cite This Study

Grant Moles (Mon,) studied this question.

synapsesocial.com/papers/68e75ddfb6db6435876d52ae https://doi.org/https://doi.org/10.48550/arxiv.2403.02442

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3On Krull-Schmidt decompositions of unit groups of number fields2024
4Counting two-step nilpotent wildly ramified extensions of function fields2025
5On Pólya groups of some non-Galois number fields2024

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