On Noether's rationality problem for cyclic groups over Q

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.contributor.author	Plans Berenguer, Bernat
dc.date	2017-06-01
dc.identifier.citation	Plans, B. On Noether's rationality problem for cyclic groups over Q. "Proceedings of the American Mathematical Society", 1 Juny 2017, vol. 145, núm. 6, p. 2407-2409.
dc.identifier.citation	0002-9939
dc.identifier.citation	10.1090/proc/13438
dc.identifier.uri	http://hdl.handle.net/2117/104804
dc.language.iso	eng
dc.relation	http://www.ams.org/journals/proc/2017-145-06/S0002-9939-2016-13438-2/
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Noether's theorem
dc.subject	Noether's problem
dc.subject	rational field extension
dc.subject	cyclic group
dc.subject	cyclotomic field
dc.subject	Geometria algebraica
dc.subject	Classificació AMS::12 Field theory and polynomials::12F Field extensions
dc.subject	Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory
dc.subject	Classificació AMS::14 Algebraic geometry::14E Birational geometry
dc.subject	Classificació AMS::11 Number theory::11R Algebraic number theory: global fields
dc.title	On Noether's rationality problem for cyclic groups over Q
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	Let p be a prime number. Let C p , the cyclic group of order p , permute transitively a set of indeterminates f x 1 ;:::;x p g . We prove that the invariant eld Q ( x 1 ;:::;x p ) C p is rational over Q if and only if the ( p
dc.description.abstract	Peer Reviewed

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