Question: Prove that A5 (the alternating group on 5 letters) cannot have a normal subgroup of order 2. Hint: Look at an element h of order

Prove that A5 (the alternating group on 5 letters) cannot have a normal subgroup of order 2. Hint: Look at an element h of order 2 in A5. Can gh = hg for all g A5?

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