Please help solve this question, encountering difficult with it. Attached pdf.

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- May 23rd 2010, 01:11 PMmatrix10Set Theory Abstract Algebra
Please help solve this question, encountering difficult with it. Attached pdf.

- May 23rd 2010, 03:19 PMPlato
Here is a hint for #2.

If the bijection $\displaystyle \alpha :S \leftrightarrow S$ is it true that $\displaystyle \alpha \circ \alpha ^{ - 1} = \alpha ^{ - 1} \circ \alpha ?$.