Abstract

LetL/k be a finite Galois extension with Galois groupG, and\(1 \to A \to E\xrightarrow{j}G \to 1\) a group extension. We study the existence of the Galois extensionM/L/k such that the canonical projection Gal(M/k)→Gal(L/k) coincides with the given homomorphismj:E→G and thatM/L is unramified.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call