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This field is remarkable in that it is only ramified at 2, and

  • it has the lowest degree of such a field where the degree is not a power of 2
  • its Galois closure has the smallest degree for a Galois field where the degree is not a power of 2.

See Theorem 2.25 of [MR:1299733].

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  • Review status: reviewed
  • Last edited by David Roe on 2020-10-13 16:12:30
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