Loading ...
Sorry, an error occurred while loading the content.

Re: Cyclotomic fields

Expand Messages
  • Mike Oakes
    ... class ... For p prime, zeta_p = exp(2*Pi*I/p), the class number of Q(zeta_p) is 1 iff p
    Message 1 of 2 , Jun 20, 2007
    • 0 Attachment
      --- In primenumbers@yahoogroups.com, Phil Carmody <thefatphil@...>
      wrote:
      >
      > Does anyone know offhand if any cyclotomic fields have non-trivial
      class
      > groups, or class numbers greater than 1?


      For p prime, zeta_p = exp(2*Pi*I/p), the class number of Q(zeta_p) is 1
      iff p <= 19.

      Ref: L.C. Washington "Introduction to Cyclotomic Fields" (2nd edn.,
      Springer, 1997), p. 7.

      -Mike Oakes
    Your message has been successfully submitted and would be delivered to recipients shortly.