Date of Degree

6-2020

Document Type

Dissertation

Degree Name

Ph.D.

Program

Mathematics

Advisor

Victor Kolyvagin

Committee Members

Kenneth Kramer

Alexander Gamburd

Victor Kolyvagin

Keywords

quadratic fields, multi quadratic class groups, multi quadratic fields, quadratic fields

Abstract

We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextensions k of K, the 2-primary components of their divisor class groups are generated by ramified prime divisors. We study in particular the 2-primary component Cl_(K,2^{\infty).

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