Families of Unramified Extensions of Number Fields
Gene Ward Smith

TL;DR
This paper explores algebraic techniques to construct families of unramified abelian extensions of number fields with specific Galois groups, advancing understanding of their structure and properties.
Contribution
It introduces new algebraic methods for constructing unramified abelian extensions with prescribed Galois groups in certain number fields.
Findings
Constructed explicit families of unramified abelian extensions
Identified conditions for the existence of such extensions
Enhanced understanding of Galois group structures in number fields
Abstract
Algebraic methods are used to construct families of unramified abelian extensions of some families of number fields with specified Galois groups.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory
