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Math Help - prove or disprove?

  1. #1
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    prove or disprove?

    If |a^2|=|b^2|, prove or disprove that |a|=|b|
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  2. #2
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    Quote Originally Posted by mandy123 View Post
    If |a^2|=|b^2|, prove or disprove that |a|=|b|
    No. Consider G = S_6. Let a=(123456) and b=(123)(456). Now |a| = 6 and |a^2| = 3. While |b| = 3 and |b^2| = 3.
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