Unit groups of quotients of number fields
Commun. Korean Math. Soc. 2020 Vol. 35, No. 2, 481-486
https://doi.org/10.4134/CKMS.c190249
Published online January 14, 2020
Printed April 30, 2020
Jerson Caro-Reyes, Guillermo Mantilla-Soler
Universidad Cat\'olica de Chile; Konrad Lorenz University
Abstract : Let $K$ be a number field. Here we give an explicit description of the group $(O_{K}/I)^{*}$ for most ideals $I$. In particular, we give a complete characterization of such group for those ideals $I$ that are coprime to the different ideal $\mathcal{D}_{K}$.
Keywords : Quotients of number fields, unit groups
MSC numbers : Primary 11R04, 11R27
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