Results 1 to 3 of 3

Math Help - Find and prove conductor of cyclotomic extension

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    24

    Find and prove conductor of cyclotomic extension

    As title, and the result is
    1, if 2nd root of unity.

    (m/2)*(infinite real), if m'th roots of unity and m=2n for some odd n.

    m*(infinite real), otherwise.

    thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chiph588@'s Avatar
    Joined
    Sep 2008
    From
    Champaign, Illinois
    Posts
    1,163
    What do you mean by infinite real?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    24
    It is real infinite prime: embeddings of extension fields into real number.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove that an extension is a continuous extension
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: August 12th 2011, 05:50 AM
  2. Field extension to find roots of polynomial
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: June 13th 2011, 10:22 AM
  3. Cyclotomic Extension
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 17th 2010, 07:28 PM
  4. Temperature of a conductor equation
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 24th 2010, 06:29 AM
  5. Cyclotomic Extension
    Posted in the Number Theory Forum
    Replies: 9
    Last Post: June 18th 2008, 10:31 AM

Search Tags


/mathhelpforum @mathhelpforum