Upper ramification sequences of nonabelian extensions of degree p³ in characteristic p

2023/03/03 by G. Griffith Elder, Elder, G. Griffith · 3 citations
Engineering · Mathematics · #11S15 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2303.01984

openalex publication_date 2023/03/03 · openalex created_date 2023/03/07 · openalex updated_date 2026/07/28

Abstract

We classify the upper ramification breaks of totally ramified nonabelian extensions of degree p³ over a local field of characteristic p>0. We find that nonintegral upper ramification breaks can occur for each nonabelian Galois group of order p³, except the dihedral group of order 8.

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