Reference : Addendum to: Reductions of algebraic integers
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/39600
Addendum to: Reductions of algebraic integers
English
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 >]
2020
Journal of Number Theory
Elsevier
Yes (verified by ORBilu)
International
0022-314X
1096-1658
Atlanta
GE
[en] Number fields ; Kummer theory ; Degree
[en] Let K be a number field, and let G be a finitely generated and torsion-free subgroup of K*. We consider Kummer extensions of G of the form K(\zeta_{2^m}, \sqrt[2^n]G)/K(\zeta_{2^m}), where n \leq m. In the paper "Reductions of algebraic integers" (J. Number Theory, 2016) by Debry and Perucca, the degrees of those extensions have been evaluated in terms of divisibility parameters over K(\zeta_4). We prove how properties of G over K explicitly determine the divisibility parameters over K(\zeta_4). This result has a clear computational advantage, since no field extension is required.
Researchers
http://hdl.handle.net/10993/39600

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
PST2.pdfAuthor preprint227.46 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.