Determination of conductors from Galois module structure
Copyright policy )Determination of conductors from Galois module structure
Let F denote an unramified extension of the cyclotomic extension of Q_p by (p^n)th roots of unity, for an odd prime p. We determine the conductors of those Kummer extensions of F of degree dividing p^n which are Galois over the maximal unramified subfield of F. This follows from a comparison of the Galois module structure of the multiplicative group of F with the unit filtration of F.
18 pages
- Harvard University United States
- University of Arizona United States
Ramification and extension theory, unit filtration, Mathematics - Number Theory, Galois theory, ramification, Galois modules, Kummer extensions, 11S15, FOS: Mathematics, Number Theory (math.NT)
Ramification and extension theory, unit filtration, Mathematics - Number Theory, Galois theory, ramification, Galois modules, Kummer extensions, 11S15, FOS: Mathematics, Number Theory (math.NT)
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