Upper ramification sequences of nonabelian extensions of degree $p^3$ in characteristic $p$
Number Theory
2023-03-06 v1
Abstract
We classify the upper ramification breaks of totally ramified nonabelian extensions of degree over a local field of characteristic . We find that nonintegral upper ramification breaks can occur for each nonabelian Galois group of order , except the dihedral group of order .
Keywords
Cite
@article{arxiv.2303.01984,
title = {Upper ramification sequences of nonabelian extensions of degree $p^3$ in characteristic $p$},
author = {G. Griffith Elder},
journal= {arXiv preprint arXiv:2303.01984},
year = {2023}
}
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20 pages