Answer to Question #144175 in Abstract Algebra for Jayshree

Question

Express the following permutation in S7 in two line notation
(1 4 7) ( 2 6 5)

Answer 1

Let us express the permutation $(147)(265)$ in $S_7$ in two line notation:

$\left(\begin{array}{cccccc}1 & 2 & 3 & 4 & 5 &6&7\\ 4 & 6 & 3 & 7 & 2 & 5 & 1\end{array}\right)$