Hilbert 90 for biquadratic extensions

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dc.creatorDwilewicz, Roman
dc.creatorMinac, Jan
dc.creatorSchultz, Andrew
dc.creatorSwallow, John
dc.date2005-10-07
dc.date2006-07-14
dc.date.accessioned2026-07-07T09:46:43Z
dc.date.available2026-07-07T09:46:43Z
dc.descriptionHilbert's Theorem 90 is a classical result in the theory of cyclic extensions. The quadratic case of Hilbert 90, however, generalizes in noncyclic directions as well. Informed by a poem of Richard Wilbur, the article explores several generalizations, discerning connections among multiplicative groups of fields, values of binary quadratic forms, a bit of module theory over group rings, and even Galois cohomology.
dc.descriptionv2 (15 pages); followed Monthly style sheet and added additional exposition
dc.identifierhttps://arxiv.org/abs/math/0510154
dc.identifierhttp://arxiv.org/abs/math/0510154
dc.identifierAmer. Math. Monthly 114 (2007), no. 7, 577--587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163628
dc.subjectNumber Theory
dc.subjectRings and Algebras
dc.subject12F10; 12G05
dc.titleHilbert 90 for biquadratic extensions
dc.typetext

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