On Tamely Ramified Iwasawa Modules for $\Zp$-extensions of Imaginary Quadratic Fields

Abstract

We study the Iwasawa modules related to certain tamely ramified extensions (tamely ramified Iwasawa modules). Let $p$ be an odd prime number, and $k$ an imaginary quadratic field. In the present paper, we shall give some results concerning the $\mu$-invariant of tamely ramified Iwasawa modules for $\mathbb{Z}_p$-extensions of $k$.