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 Unit groups of quotients of number fields Commun. Korean Math. Soc.Published online January 14, 2020 Jerson Caro-Reyes and Guillermo Mantilla-Soler Pontifical Catholic University of 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 : Units, quotients of number fields. MSC numbers : 11R99 Full-Text :