Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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CONSTRUCTION OF THE FIRST LAYER OF ANTI-CYCLOTOMIC EXTENSION

  • Oh, Jangheon (Department of Applied Mathematics College of Natural Sciences Sejong University)
  • Received : 2013.05.22
  • Accepted : 2013.08.07
  • Published : 2013.09.30
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Abstract

In this paper, using a theorem of Brink for prime decomposition of the anti-cyclotomic extension, we explicitly construct the first layer of the anti-cyclotomic $\mathbb{Z}_3$-extension of imaginary quadratic fields.

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References

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