Conditions satisfied by characteristic polynomials in fields and division algebras

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dc.creatorReichstein, Zinovy
dc.creatorYoussin, Boris
dc.date2000-02-22
dc.date.accessioned2026-07-07T04:34:00Z
dc.date.available2026-07-07T04:34:00Z
dc.descriptionSuppose E/F is a field extension. We ask whether or not there exists an element of E whose characteristic polynomial has one or more zero coefficients in specified positions. We show that the answer is frequently ``no''. We also prove similar results for division algebras and show that the universal division algebra of degree n does not have an element of trace 0 and norm 1.
dc.descriptionAMS LaTeX 1.1, 22 pages. Author-supplied dvi file available at http://ucs.orst.edu/~reichstz/pub.html
dc.identifierhttps://arxiv.org/abs/math/0002176
dc.identifierhttp://arxiv.org/abs/math/0002176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58737
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.titleConditions satisfied by characteristic polynomials in fields and division algebras
dc.typetext

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