Groups and FieldsEasyPermutation Groups SharePermutation Groups · Easy problemIn S4S_4S4, let σ=(1 2 3)\sigma = (1\,2\,3)σ=(123) and τ=(2 3 4)\tau = (2\,3\,4)τ=(234). Do σ\sigmaσ and τ\tauτ commute, i.e. is στ=τσ\sigma\tau = \tau\sigmaστ=τσ?AYes, στ=τσ\sigma\tau = \tau\sigmaστ=τσBNo, στ≠τσ\sigma\tau \ne \tau\sigmaστ=τσCYes, because σ\sigmaσ and τ\tauτ are both 333-cyclesDIt cannot be determined without choosing a labeling of 1,2,3,41,2,3,41,2,3,4Check Show answer Walk through it step by step Practice more like this Review this concept