Results 1 to 2 of 2

Math Help - Proving a set of permutations is a group

  1. #1
    Newbie
    Joined
    Oct 2010
    Posts
    21

    Proving a set of permutations is a group

    Hey there,

    I'm trying to prove a set of permutations is a group, but the textbook isn't very clear how to do so.

    G={id, (1 2), (1 3), (1 4)}; operation in S_4

    If anyone can offer any words of advice, that would be much appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member abhishekkgp's Avatar
    Joined
    Jan 2011
    From
    India
    Posts
    495
    Thanks
    1
    Quote Originally Posted by manygrams View Post
    Hey there,

    I'm trying to prove a set of permutations is a group, but the textbook isn't very clear how to do so.

    G={id, (1 2), (1 3), (1 4)}; operation in S_4

    If anyone can offer any words of advice, that would be much appreciated.
    the product of (1\,2) and (1\,3) is (1\,3\,2). this does not lie in G.Hence G is not closed under multiplication. How can G be a group?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Permutations and Abelian Group proof.
    Posted in the Advanced Algebra Forum
    Replies: 18
    Last Post: February 18th 2010, 08:43 AM
  2. group permutations 1
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 24th 2009, 09:31 AM
  3. group permutations 3
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 24th 2009, 09:23 AM
  4. group permutations 6
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 24th 2009, 09:19 AM
  5. group permutations 8
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 24th 2009, 09:15 AM

Search Tags


/mathhelpforum @mathhelpforum