2. [3 Marks] Given the presentation C₂ x C₁ = (a,b|a² = 1, b = 1,ab=ba) let H = {1,6²} be the subgroup generated by b²2.
Posted: Tue Jul 12, 2022 11:59 am
2. [3 Marks] Given the presentation C₂ x C₁ = (a,b|a² = 1, b = 1,ab=ba) let H = {1,6²} be the subgroup generated by b²2. List all the (distinct) cosets of H in C₂ x C₁, giving the elements of each coset.