2 8 Marks The Set G 1 3 7 9 11 13 17 19 Is A Group Under Multiplication Modulo 20 A Find All Subgroups O 1 (42.32 KiB) Viewed 29 times
Please solve a,b, and c. Please explain if possible.
2. [8 Marks] The set G = {1, 3, 7, 9, 11, 13, 17, 19} is a group under multiplication modulo 20. a) Find all subgroups of G. b) Find all the left cosets of the subgroup generated by 11. c) For each subgroup H <G apart from G itself, write down a group you have met in lectures to which H is isomorphic. (You don't need to justify your answers.) d) Now write down a group you have met in lectures to which G itself is isomorphic. (You don't need to justify your answer.)
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