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 Unit groups of quotients of number fields Commun. Korean Math. Soc. 2020 Vol. 35, No. 2, 481-486 https://doi.org/10.4134/CKMS.c190249Published online January 14, 2020Printed 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 Downloads: Full-text PDF   Full-text HTML