Results 1 to 4 of 4

Math Help - need a help

  1. #1
    Junior Member
    Joined
    Jul 2008
    Posts
    54

    need a help

    Let H be a subgroup of G then show that H \capC_G(H)=Z(G)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Matt Westwood's Avatar
    Joined
    Jul 2008
    From
    Reading, UK
    Posts
    737
    Thanks
    1
    Can you post that again? It gives "LaTeX Error: Syntax error".
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2008
    Posts
    54

    need help

    Let H be a subgroup of G, then H\cap C_G(H)=Z(H).
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by dimuk View Post
    Let H be a subgroup of G, then H\cap C_G(H)=Z(H).
    Just do it by definition. Z(H) means all x\in H so that x commutes with every element in G. But that is the same thing as x\in H and x\in C_G(H).
    Follow Math Help Forum on Facebook and Google+


/mathhelpforum @mathhelpforum