On the triviality of the unramified Iwasawa modules of the maximal multiple ${\mathbb{Z}}_p$-extensions

Keiji Okano

For a number field $k$ and an odd prime number $p$, we consider the maximal multiple ${\mathbb{Z}}_p$-extension $\tilde{k}$ of $k$ and the unramified Iwasawa module $X(\tilde{k})$, w…