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 12,971
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    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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