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Math Help - Set Theory Abstract Algebra

  1. #1
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    Set Theory Abstract Algebra

    Please help solve this question, encountering difficult with it. Attached pdf.
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  2. #2
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    Here is a hint for #2.
    If the bijection \alpha :S \leftrightarrow S is it true that \alpha  \circ \alpha ^{ - 1}  = \alpha ^{ - 1}  \circ \alpha ?.
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