nLab anti-cyclotomic field


A field extension with Galois group a dihedral group.


  • Groupprops, Galois extensions for dihedral groups:D8

  • Hirotada Naito, Dihedral extensions of degree 8 over the rational p-adic fields, Proc. Japan Acad. Ser. A Math. Sci. Volume 71, Number 1 (1995), 17-18. (Euclid)

  • David Brink, Prime decomposition in the anti-cyclotomic extension, Mathematics of Computation, vol 76, number 260 (2007) (pdf)

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