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Some remarks on finite submodules of the unramified Iwasawa module of totally real fields
2020
Proceedings of the Japan Academy. Series A Mathematical sciences
Preserved Fulltext
Let k be a number field and p a prime number. It is conjectured by Greenberg that the Iwasawaand -invariants of the cyclotomic Z p -extension of k always vanish if k is totally real. In this article, we will discuss a weak version of Greenberg's conjecture, and give results analogous to Greenberg's and Ozaki's results.
doi:10.3792/pjaa.96.016
fatcat:e3lys63ewfgi3ome6diqd4d7pm