Results 1 to 2 of 2

Math Help - Automorphisms

  1. #1
    Junior Member
    Joined
    Jul 2008
    Posts
    54

    Automorphisms

    How to find the Aut(S_n, S_{n-1})?

    I know this is equal to \frac{N_{Aut(S_n)}(S_{n-1})}{C_{Aut(S_n)}(S_{n-1})} for all n.


    Since Aut(S_n)=S_n unless n \not= 6, Aut(S_n, S_{n-1})=\frac{N_{S_n}(S_{n-1})}{C_{S_n}(S_{n-1})} when n\not = 6.

    When n=6, Out(S_6)=\frac{Aut(S_6)}{Inn(S_6)}.
    What is happening when n=6 for Aut(S_n, S_{n-1})?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2009
    Posts
    56
    I don't understand your notation.
    For example what Aut(X,Y) means, I mean Aut(X) means the set of all automorphisms on X.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. automorphisms of Z_6
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: August 11th 2011, 09:08 PM
  2. [SOLVED] Automorphisms
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: March 29th 2011, 03:17 PM
  3. automorphisms
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: August 25th 2010, 04:48 PM
  4. Inner Automorphisms
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: March 9th 2010, 02:35 PM
  5. automorphisms
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 29th 2009, 05:41 PM

Search Tags


/mathhelpforum @mathhelpforum