The generalized Coates-Sinnott Conjecture for some families of cubic extensions of number fields

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DC Field	Value	Language
dc.contributor.advisor	Kolster, Manfred	en_US
dc.contributor.author	Gray, Darren	en_US
dc.date.accessioned	2014-06-18T16:45:28Z	-
dc.date.available	2014-06-18T16:45:28Z	-
dc.date.created	2011-05-26	en_US
dc.date.issued	2009	en_US
dc.identifier.other	opendissertations/4236	en_US
dc.identifier.other	5254	en_US
dc.identifier.other	2032788	en_US
dc.identifier.uri	http://hdl.handle.net/11375/9081	-
dc.description.abstract	<p>Let E/<em>k</em> be an <em>S</em><sub>3</sub> extension of totally real number fields with quadratic subextension<em> F</em>/k. The generalized Coates-Sinnott conjecture predicts that for n ≥ 2, the integralized Stickelberger element <em>w</em><sub>n</sub>(<em>E</em>)<em>θ<sub>E/F</sub></em>(1-n) attached to the cyclic cubic extension<em> E</em>/F should annihilate the <em>p</em>-part of <em>H<sup>2</sup><sub>Μ</sub></em>(<em>Ο<sub>E</sub></em>, Z(<em>n</em>)) for all primes <em>p</em>. We show this to be true for all p ≠ 2, 3.</p>	en_US
dc.subject	Mathematics	en_US
dc.subject	Mathematics	en_US
dc.title	The generalized Coates-Sinnott Conjecture for some families of cubic extensions of number fields	en_US
dc.type	thesis	en_US
dc.contributor.department	Mathematics	en_US
dc.description.degree	Master of Science (MS)	en_US
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