1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Finite Group

  1. Nov 25, 2003 #1
    Hi!
    Let us say we have a group [tex]\langle Z_n \backslash \lbrace 0 \rbrace, \cdot \rangle[\tex] and one element multiplied with another gives kn. n divides kn, so kn equals 0. But we don't have 0 in the set of the group.

    If the tex stuff didn't show up, the group should be
    <Z_n\{0},+>

    Is this then not a group?
    Nille
     
  2. jcsd
  3. Nov 25, 2003 #2
    You re damn straight its not a group!!! a group contains the identity! remove the identity, and you no longer have a group on your hands... but why would you want to go and do something so perverse like remove the identity?
     
  4. Nov 25, 2003 #3
    Even worse, it's not closed under addition. 1+(-1)=0, which is not an element in the given set.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Finite Group
  1. Finite group (Replies: 3)

  2. Finite groups (Replies: 2)

Loading...