Abstract
Let $k$ be a number field and $p$ a prime number. It is conjectured by Greenberg that the Iwasawa $\lambda$- and $\mu$-invariants of the cyclotomic $\mathbf{Z}_{p}$-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.
Citation
Satoshi Fujii. "Some remarks on finite submodules of the unramified Iwasawa module of totally real fields." Proc. Japan Acad. Ser. A Math. Sci. 96 (9) 83 - 85, November 2020. https://doi.org/10.3792/pjaa.96.016
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