On the Iwasawa asymptotic class number formula for ${\mathbb{Z}}_p^r⋊{\mathbb{Z}}_p$-extensions

Dingli Liang, Meng Fai Lim

Let $p$ be an odd prime and $F_{\infty ,\infty }$ a $p$-adic Lie extension of a number field $F$ with Galois group isomorphic to ${\mathbb{Z}}_p^r⋊{\mathbb{Z}}_p$, $r\ge 1$. Under…