Repeat the preceding exercise, but find the right cosets this time. Are they the same as the left coset?

Data from exercise 9

Repeat Exercise 6 for the subgroup {P_o, p₂} of D₄.

Data from Exercise 6

Find all left cosets of the subgroup {p₀ , µ₂} of the group D₄ given by Table 8.12.

Transcribed Image Text:

Po PI P2 P3 12 8₁ Po Pi 8₂ Po P₁ Pi μI fly P2 P3 PO Po 12 P1 P2 P₂ P3 P2 P3 P3 Po PI 82 8₁ 8₁ μl; μls P3 8₂ P1 Po 8₁ f 8₂ 3 12 P2 82 8₁ 8₂ M₂ 8₁ Po P2 P3 PI 12₂ P2 142 8₁ PI 12 8₁ 8₂ 82 μ2 3 Po 8₂ P3 8₂ 8₁ f) M2 Po 2 PI P3 P2 12 8₁ μ₁ P3 P1 P2 Po