MathCastle
Groups and FieldsHardPermutation Groups

Permutation Groups · Hard problem

Find the permutation x∈S5x\in S_5 with x (1 2 3)=(1 3 2)(4 5)x\,(1\,2\,3)=(1\,3\,2)(4\,5) (apply (1 2 3)(1\,2\,3) first). Where does xx send 11?