Upper ramification sequences of nonabelian extensions of degree $p^3$ in characteristic $p$

G. Griffith Elder

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arXiv · 2303.01984

Upper ramification sequences of nonabelian extensions of degree $p^3$ in characteristic $p$

G. Griffith Elder

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Abstract

We classify the upper ramification breaks of totally ramified nonabelian extensions of degree $p^3$ over a local field of characteristic $p>0$. We find that nonintegral upper ramification breaks can occur for each nonabelian Galois group of order $p^3$, except the dihedral group of order $8$.

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G. Griffith Elder. 2023-03-03. Upper ramification sequences of nonabelian extensions of degree $p^3$ in characteristic $p$. https://arxiv.org/abs/2303.01984

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