Two-Row Notation/Examples/Permutation in S4

Example of Two-Row Notation

The permutation on the symmetric group on $4$ letters $S_4$ defined as:

$1 \mapsto 3, 2 \mapsto 2, 3 \mapsto 4, 4 \mapsto 1$

can be depicted in two-row notation as:

$\begin{pmatrix}

1 & 2 & 3 & 4 \\ 3 & 2 & 4 & 1 \end{pmatrix}$

Sources

• 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 34$. Examples of groups: $(4) \ \text {(c)}$