Korean J. Math. Vol. 21 No. 3 (2013) pp.265-270
DOI: https://doi.org/10.11568/kjm.2013.21.3.265

Construction of the first layer of anti-cyclotomic extension

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Jangheon Oh


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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