Iwasawa Invariants of Some Non-Cyclotomic ${\mathbb{Z}}_p$-extensions

Abstract

Iwasawa showed that there are non-cyclotomic ${\mathbb{Z}}_p$-extensions with positive $\mu$-invariant. We show that these $\mu$-invariants can be evaluated explicitly in many situations when $p=2$ and $p=3$.

24 pages