A consequence of Greenberg's generalized conjecture on Iwasawa invariants of ${\mathbb{Z}}_p$-extensions

Takenori Kataoka

For a prime number $p$ and a number field $k$, let $\tilde{k}$ be the compositum of all ${\mathbb{Z}}_p$-extensions of $k$. Greenberg's Generalized Conjecture (GGC) claims the pseudo…