A note on Hilbert’s Theorem 90
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- by Bao-Ping Jia and Larry Santoni PDF
- Proc. Amer. Math. Soc. 118 (1993), 739-744 Request permission
Abstract:
In this paper we extend "up to powers" Hilbert’s Theorem 90 to arbitrary finite Galois extensions. In the case of algebraic number fields with class number equal to $1$, we completely determine the kernel and image of the norm map.References
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D. Hilbert, Theorie der Algebraische Zahlkorper, 1897, p. 147.
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 739-744
- MSC: Primary 12F10; Secondary 11R27, 11R29, 11R32
- DOI: https://doi.org/10.1090/S0002-9939-1993-1151813-9
- MathSciNet review: 1151813