Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N 3 σ × N τ lattices for N τ = 4, 5, 6 and 8 and N σ = 8-16. Using finite size scaling theory, we obtain ω ≡ γ/ν = 1.93 ± 0.03 for N τ = 4, in excellent agreement with universality. Corresponding determinations for the N τ = 5 and 6 lattices are also found to be in very good agreement with this estimate. The critical couplings for N τ = 4, 5, 6 and 8 lattices exhibit large shifts towards the strong coupling region when compared with the usual Wilson action, and suggest a lot smoother approach to scaling.