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Unit groups of quotients of number fields

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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 $\mathcal{D}_{K}$.

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 $\mathcal{D}_{K}$.

참고문헌 (3)

  1. F. W. Anderson, "Rings and Categories of Modules" (1992), Springer-Verlag
  2. J. J. Rotman, "An Introduction to Homological Algebra" (1979), Academic Press, Inc.
  3. C. A. Weibel, "An Introduction to Homological Algebra" (1994), Cambridge University Press

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