MathCastle
Groups and FieldsMediumGroup Actions

Group Actions · Medium problem

S4S_4 acts on {1,2,3,4}\{1,2,3,4\} by σ⋅x=σ(x)\sigma\cdot x=\sigma(x). Compute (1 2 3)⋅((1 4)⋅2)(1\,2\,3)\cdot\big((1\,4)\cdot2\big).