Calculate Till Mate Rar

Calculate Till Mate Rar

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Calculate Till Mate Rar

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Will You Be My Regular · edual enlp_l6572.rar, he left €29,000 in his will. In November 2015, he was profiled in the Irish Examiner newspaper.

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About characters of order 2 in $S_6$

I want to know whether there are any two characters whose product is identity in $S_6$ or if any character and its product are both not identity in $S_6$?

A:

In $S_n$, the number of characters of order 2 is $n-1$ when $n$ is even, and $n$ when $n$ is odd.
In $S_6$, there are $5$ characters of order $2$ since $6=2\times 3$. One of these characters is of order $2$ for $S_6$, and the others are of order $1$, $3$ or $6$.
Let $G$ be any of the $5$ characters of order $2$ in $S_6$. Then $G
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