M matrix10 Dec 2008 1 0 May 23, 2010 #1 Please help solve this question, encountering difficult with it. Attached pdf. Attachments Set Theory Abstract Algebra.pdf 29.1 KB Views: 27

P Plato MHF Helper Aug 2006 22,458 8,632 May 23, 2010 #2 Here is a hint for #2. If the bijection \(\displaystyle \alpha :S \leftrightarrow S\) is it true that \(\displaystyle \alpha \circ \alpha ^{ - 1} = \alpha ^{ - 1} \circ \alpha ?\).

Here is a hint for #2. If the bijection \(\displaystyle \alpha :S \leftrightarrow S\) is it true that \(\displaystyle \alpha \circ \alpha ^{ - 1} = \alpha ^{ - 1} \circ \alpha ?\).