A NOTE ON HILBERT THEOREM 90

Authors
JIA BP SANTONI L
Citation
Bp. Jia et L. Santoni, A NOTE ON HILBERT THEOREM 90, Proceedings of the American Mathematical Society, 118(3), 1993, pp. 739-744
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
118
Issue
3
Year of publication
1993
Pages
739 - 744
Database
ISI
SICI code
0002-9939(1993)118:3<739:ANOHT9>2.0.ZU;2-3
Abstract
In this paper we extend ''up to powers'' Hilbert's Theorem 90 to arbit rary finite Galois extensions. In the case of algebraic number fields with class number equal to 1, we completely determine the kernel and i mage of the norm map.