Results 1 to 4 of 4

Math Help - Prove that the identity element e is the only idempotent element in a group G

  1. #1
    Member
    Joined
    Feb 2010
    Posts
    84

    Prove that the identity element e is the only idempotent element in a group G

    An element x in a multiplicative group G is called idempotent if x^2 = x. Prove that the identity element e is the only idempotent element in a group G.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Aug 2009
    From
    Israel
    Posts
    976
    Where are you getting stuck?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Feb 2010
    Posts
    84
    Someone helped me with this problem already. Thank you.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor chiph588@'s Avatar
    Joined
    Sep 2008
    From
    Champaign, Illinois
    Posts
    1,163
    Quote Originally Posted by rainyice View Post
    Someone helped me with this problem already. Thank you.
    How is it done?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Does the identity element form a group on it's own?
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: May 3rd 2011, 08:37 AM
  2. Replies: 1
    Last Post: December 3rd 2010, 11:42 AM
  3. Prove the LCM of an element in a group
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 18th 2010, 12:35 PM
  4. Replies: 1
    Last Post: November 5th 2009, 07:14 PM
  5. identity element of Group
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 2nd 2009, 10:23 PM

Search Tags


/mathhelpforum @mathhelpforum