Galois extensions and the ramification sequence of some wildly ramified $\pi$-adic fields
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- by R. D. Davis and E. F. Wishart PDF
- Proc. Amer. Math. Soc. 30 (1971), 212-216 Request permission
Abstract:
In this paper the authors have found necessary and sufficient conditions for a pth degree Eisenstein extension of an arbitrary $\pi$-adic field to be normal. In addition we have found where the Galois automorphisms must appear in the ramification sequence of the extended ring.References
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R. Davis, On the inertial automorphisms of a class of ramified v-rings, Dissertation, Florida State University, Tallahassee, Fla., 1969.
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- Nickolas Heerema, Inertial automorphisms of a class of wildly ramified $v$-rings, Trans. Amer. Math. Soc. 132 (1968), 45–54. MR 223359, DOI 10.1090/S0002-9947-1968-0223359-3
- O. F. G. Schilling, The Theory of Valuations, Mathematical Surveys, No. 4, American Mathematical Society, New York, N. Y., 1950. MR 0043776, DOI 10.1090/surv/004 E. Wishart, Higher derivations on p-adic fields, Dissertation, Florida State University, Tallahassee, Fla., 1965.
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 212-216
- MSC: Primary 12.50
- DOI: https://doi.org/10.1090/S0002-9939-1971-0282954-1
- MathSciNet review: 0282954