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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on Hilbert's Theorem 90


Authors: Bao-Ping Jia and Larry Santoni
Journal: Proc. Amer. Math. Soc. 118 (1993), 739-744
MSC: Primary 12F10; Secondary 11R27, 11R29, 11R32
MathSciNet review: 1151813
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1993-1151813-9
Article copyright: © Copyright 1993 American Mathematical Society