The Second Chinburg Conjecture for Quaternion Fields

dc.contributor.advisor	Snaith, V.P.	en_US
dc.contributor.author	Tran, Van Minh	en_US
dc.contributor.department	Mathematics	en_US
dc.date.accessioned	2014-06-18T16:38:17Z
dc.date.available	2014-06-18T16:38:17Z
dc.date.created	2010-07-08	en_US
dc.date.issued	1996	en_US
dc.description.abstract	<p>This thesis is a part of a program to study the Second Chinburg Conjecture. Let N be a quaternion extension of the rational; containing Q(√d₁,√d₂), where d₁ ≡ 3 (mod 8) and d₂ ≡ 10 (mod 16). A projective Z[Q₈]-module inside the ring of integers ON is constructed and is used, together with a cohomological classification of cohomologically trivial, 2-primary Q-modules, to compare Ω(N/Q,2), Chinburg's second invariant, with WN/Q, the root number class defined by Ph. Cassou-Nougès and A. Fröhlich. The Second Chinburg Conjecture for this extension N/Q is confirmed. Together with results of J. Hooper and S. Kim this calculation verifies the Second Chinburg Conjecture for all quaternion extensions of the rationals.</p>	en_US
dc.description.degree	Doctor of Philosophy (PhD)	en_US
dc.identifier.other	opendissertations/2429	en_US
dc.identifier.other	3494	en_US
dc.identifier.other	1386425	en_US
dc.identifier.uri	http://hdl.handle.net/11375/7138
dc.subject	Mathematics	en_US
dc.subject	Mathematics	en_US
dc.title	The Second Chinburg Conjecture for Quaternion Fields	en_US
dc.type	thesis	en_US

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