Set Theory Abstract Algebra

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May 23rd 2010, 01:11 PM
matrix10

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Set Theory Abstract Algebra

Please help solve this question, encountering difficult with it. Attached pdf.
May 23rd 2010, 03:19 PM
Plato

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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