Reference : Explicit Kummer theory for quadratic fields
E-prints/Working papers : First made available on ORBilu
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/42266
Explicit Kummer theory for quadratic fields
English
Hörmann, Fritz mailto [University of Freiburg > Mathematics]
Perucca, Antonella mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Sgobba, Pietro mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Tronto, Sebastiano mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Undated
No
[en] Kummer theory ; Kummer extension ; number field ; cyclotomic field ; quadratic field ; degree
[en] Let K be a quadratic number field. If \alpha \in K*, we describe an explicit procedure to compute all Kummer degrees [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)] for n,m \geq 1, where \zeta_m denotes a primitive m-th root of unity and n divides m. We can also replace \alpha by any finitely generated subgroup of K*.
Researchers
http://hdl.handle.net/10993/42266

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
KummerQuadratic.pdfAuthor preprint339.5 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.