Unique Normal Subgroups

  1. Our professor posed this question, and I'm having a very difficult time with it.

    If you have a unique subgroup H of G such that H is of order 10 or 20, then H is a normal subgroup. How can you generalize this?

    If you have the time to give some hints or suggestions, I'd appreciate it.

    -Nelson
     
  2. jcsd
  3. Quick note: By stating that theorem, he meant prove it for orders of 10 or 20, then generalize the findings.
     
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