Subsets and Groups

  1. Hey guys, I'm having an issue with a question, namely

    Let x be a subset of S4. Is x a group?

    x = {e, (123), (132), (12)(34)}

    I don't really understand how I can test the 4 axioms of a group and how x being a subset of S4 would help?
     
  2. jcsd
  3. vela

    vela 12,726
    Staff Emeritus
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    You have only four elements. Why not just write out the entire multiplication table and see if you have a group on your hands?
     
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