Reference : Kummer theory for number fields via entanglement groups
 Document type : E-prints/Working papers : First made available on ORBilu Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/10993/40831
 Title : Kummer theory for number fields via entanglement groups Language : English Author, co-author : Perucca, Antonella [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Sgobba, Pietro [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Tronto, Sebastiano [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : Undated Peer reviewed : No Keywords : [en] Number fields ; Kummer theory ; Degree ; Radical extensions Abstract : [en] Let $K$ be a number field, and let $G$ be a finitely generated and torsion-free subgroup of $K^\times$. We are interested in computing the degree of the cyclotomic-Kummer extension $K(\sqrt[n]{G})$ over $K$, where $\sqrt[n]{G}$ consists of all $n$-th roots of the elements of $G$. We develop the theory of entanglements introduced by Lenstra, and apply it to compute the above degrees. Target : Researchers Permalink : http://hdl.handle.net/10993/40831

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
PST-entanglement.pdfAuthor preprint353.06 kBRequest a copy

All documents in ORBilu are protected by a user license.