Symmetric Group on 3 Letters/Cycle Notation

Cycle Notation for Symmetric Group on $3$ Letters

The symmetric group on $3$ letters can be given in cycle notation as follows:

\(\ds e\) \(:=\) \(\ds \text { the identity mapping}\)
\(\ds p\) \(:=\) \(\ds \tuple {1 2 3}\)
\(\ds q\) \(:=\) \(\ds \tuple {1 3 2}\)


\(\ds r\) \(:=\) \(\ds \tuple {2 3}\)
\(\ds s\) \(:=\) \(\ds \tuple {1 3}\)
\(\ds t\) \(:=\) \(\ds \tuple {1 2}\)
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