Results 1 to 2 of 2

Math Help - isomorphism

  1. #1
    Junior Member
    Joined
    Feb 2006
    Posts
    32

    isomorphism

    Hi,

    Can someone please tell me a method for describing Aut(Cn) as a product of cyclic groups

    e.g describe Aut(C30) as a product of cyclic groups.

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by jedoob View Post
    Hi,

    Can someone please tell me a method for describing Aut(Cn) as a product of cyclic groups

    e.g describe Aut(C30) as a product of cyclic groups.

    Thanks.
    I never studied the automorphism group.
    However, it seems to me that...

    Aut(Z_n)
    Has phi(n) elements and it is cyclic.
    Hence,
    Aut(Z_n) is isomorphic to Z_{phi(n)}.

    I am assuming C_n means a cyclic group, right?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Isomorphism
    Posted in the Advanced Algebra Forum
    Replies: 10
    Last Post: October 27th 2010, 12:08 AM
  2. isomorphism
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: September 30th 2010, 09:52 AM
  3. isomorphism
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: March 10th 2010, 08:50 AM
  4. Replies: 4
    Last Post: February 14th 2010, 03:05 AM
  5. Isomorphism
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: June 28th 2009, 11:13 PM

Search Tags


/mathhelpforum @mathhelpforum