An Equal-Distribution Result for Galois Module Structure

Let K be a number of field with ring of integers o, and let G be a fixed finite group. If K\sbπ is a tame Galois G-extension, the integral closure {\cal O}\sbπ of o in K\sbπ is a locally free rank one oG-module, so realizes a class cl({\cal O}\sbπ) in the locally free class group Cl(oG). We let R(oG) denote the set of classes so realized. In the case where G is an elementary abelian group, we obtain the following result.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Foster, Kurt Christopher

• Mathematics

Identifier

(UMI)AAI8721636

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/71253