MATH 4200 Midterm: MATH 4200 LSU Fall 16 Exam 2a
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Answer each of the questions on your own paper, and be sure to show your work, including giving reasons, so that partial credit can be adequately assessed. Put your name on each page of your paper: [30 points] these are short answer questions. For these questions, you do not need to show your work. (a) list the generators of 12. 1, 5, 7, 11 (b) write a multiplication table for the group . 1 (c) what is the order of 3 in . = 24 (e) a group has 45 elements. 1, 3, 5, 9, 15, 45 (f) suppose that is a generator of a cyclic group of order 45. 5 subgroup 9 . (g) suppose that is a generator of a cyclic group . 60 (h) give an example of a nontrivial (meaning not equal to 1 ) abelian subgroup of a non- abelian group.
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