Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Are all groups nonempty?

  1. Nov 21, 2011 #1
    Are all groups nonempty? If so, is it because all groups have an identity (element)?
     
  2. jcsd
  3. Nov 22, 2011 #2
    Right, the definition of a Group gives us that the group must have a minimum of at least 1 element, the group identity.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook