A certain group has twelve elements: e, ρ, ρ^2, ρ^3, ρ^4, ρ^5 R, ρR, ρ^2R, ρ^3R, ρ^4R, ρ^5R. They satisfy the three equations: ρ6= e, R^2= e, Rρ = ρ^5R. Using just the equations above, show that Rρ^3= ρ^3R.
Follow Math Help Forum on Facebook and Google+
I can see that $\displaystyle R^2 = \rho^6 \implies R^2 = (\rho^3)^2 \implies R=\rho^3$
View Tag Cloud