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

2024/03/04 by Grant Moles, Moles, Grant
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2403.02442

Abstract

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.

Related

• Explicit Constructions of the non-Abelian p³-Extensions Over \QQ
• Explicit Constructions of the non-Abelian p³-Extensions Over \QQ
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