Results 1 to 2 of 2

Math Help - Z/2Z x Z/2Z

  1. #1
    Member
    Joined
    Apr 2008
    Posts
    204

    Z/2Z x Z/2Z

    hey guys, was wondering if someone could tell me what this would be represented as in a cayley table? (Z being the set of integers)
    Z/2Z \times Z/2Z
    i know that Z/2Z = \{0,1\}, and (Z/2Z)^{\times} = \{0,1\}, but i dont know what Z/2Z \times Z/2Z is!!
    thanks heaps (in advance)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by wik_chick88 View Post
    hey guys, was wondering if someone could tell me what this would be represented as in a cayley table? (Z being the set of integers)
    Z/2Z \times Z/2Z
    i know that Z/2Z = \{0,1\}, and (Z/2Z)^{\times} = \{0,1\}, but i dont know what Z/2Z \times Z/2Z is!!
    thanks heaps (in advance)
    I assume that Z/2Z=\mathbb{Z}/2\mathbb{Z}=\mathbb{Z}_2. Then, \mathbb{Z}_2\oplus\mathbb{Z}_2=\{0,1\}\times\{0,1\  } with addition defined by (x,y)+(z,t)=(x+z,y+t). Is that what you're asking?
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum