Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2020; 35(2): 481-486

Online first article January 14, 2020      Printed April 30, 2020

https://doi.org/10.4134/CKMS.c190249

Copyright © The Korean Mathematical Society.

Unit groups of quotients of number fields

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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