Date of Award
Master of Science (MS)
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.
Gray, Darren, "The generalized Coates-Sinnott Conjecture for some families of cubic extensions of number fields" (2009). Open Access Dissertations and Theses. Paper 4236.
McMaster University Library