- 2 3 Marks Given The Presentation C X C A B A 1 B 1 Ab Ba Let H 1 6 Be The Subgroup Generated By B 2 1 (18.58 KiB) Viewed 21 times
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.
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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.
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.
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