Griff Elder

collaborators

2 papers

math.NT2023

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

G. Griffith Elder

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 ramif…

math.NT2015

Ramified extensions of degree $p$ and their {H}opf-{G}alois module structure

G. Griffith Elder

Cyclic, ramified extensions $L / K$ of degree $p$ of local fields with residue characteristic $p$ are fairly well understood. Unless $\mbox{char}(K)=0$ and $L = K (p π_{K})$ for s…

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

Ramified extensions of degree p and their {H}opf-{G}alois module structure

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

Ramified extensions of degree $p$ and their {H}opf-{G}alois module structure