On the maximal pro-$p$ extension unramified outside $p$ of an imaginary quadratic field



Osaka Journal of Mathematics

On the maximal pro-$p$ extension unramified outside $p$ of an imaginary quadratic field

Satoshi Fujii

Source: Osaka J. Math. Volume 45, Number 1 (2008), 41-60.

Abstract

In this article, we study the group structure of the Galois group of the maximal pro-$p$ extension unramified outside $p$ of imaginary quadratic fields by using Iwasawa theory.

Primary Subjects: 11R23

Full-text: Access granted (open access)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ojm/1205503555


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