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

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