On the Existence of Absolutely Simple Abelian Varieties of a Given Dimension over an Arbitrary Field

On a Quotient of the Unramified Iwasawa

On a Quotient of the Unramified Iwasawa Module over an Abelian Number Field

✍ Humio Ichimura 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 154 KB

Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k Âk be the cyclotomic Z p -extension and LÂk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(LÂk ) and Y=Gal(L & NÂk ), and let