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  1. E

    Questions about the Sn group

    I have two questions about this group that I think I have an idea about but am unsure of. The first question is how many elements in the Sn group can map 1 to any particular elements, say n-2? The second question is how do you find the order of the stabilizer of 5 in Sn?
  2. E

    Infinite groups with elements of finite order

    Can anyone think of an example of an infinite group that has elements with a finite order?
  3. E

    Group theory question

    Homework Statement If a and b are in a group, show that if (ab)^n=e then (ba)^n=e. Homework Equations The Attempt at a Solution I'm not sure how one would prove this. The question is obviously for non-abelian groups.