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Author

Darren Gray

Date of Award

2009

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Supervisor

Manfred Kolster

Language

English

Abstract

Let E/k be an S3 extension of totally real number fields with quadratic subextension F/k. The generalized Coates-Sinnott conjecture predicts that for n ≥ 2, the integralized Stickelberger element wn(E)θE/F(1-n) attached to the cyclic cubic extension E/F should annihilate the p-part of H2Μ(ΟE, Z(n)) for all primes p. We show this to be true for all p ≠ 2, 3.

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