Results 1 to 2 of 2

Math Help - Help with Groups

  1. #1
    Junior Member
    Joined
    Mar 2007
    Posts
    34

    Help with Groups

    Can i please get an example done with full working so I understand all parts;
    Closure, Indenties, Inverse and Asscoiativity

    1. Show that the set of powers of 4 forms a group under multiplication.

    Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by holmesb View Post
    Can i please get an example done with full working so I understand all parts;
    Closure, Indenties, Inverse and Asscoiativity

    1. Show that the set of powers of 4 forms a group under multiplication.

    Thank you
    What?!?

    What are you talking about?

    Are you talking about this:
    1)Let <G,*> be a group.
    2)Let S={x^4 | x in G}
    3)Then S is a group (actually subgroup of G) under *.

    Is that it?
    (EDIT: I realized that we need the fact that G is abelian, for S to be a subgroup).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. About minimal normal groups and subnormal groups
    Posted in the Advanced Algebra Forum
    Replies: 9
    Last Post: October 20th 2011, 02:53 PM
  2. Automorphism groups of cyclic groups
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: August 15th 2011, 10:46 AM
  3. Quotient Groups - Infinite Groups, finite orders
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: August 11th 2010, 08:07 AM
  4. free groups, finitely generated groups
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: May 23rd 2009, 04:31 AM
  5. Order of groups involving conjugates and abelian groups
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: February 5th 2009, 09:55 PM

Search Tags


/mathhelpforum @mathhelpforum