MATH 546 Midterm: MATH546 South Carolina 546 e2 f11

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15 Feb 2019
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If possible: turn the problems in order (use as much paper as necessary), use only one side of each piece of paper, and leave 1 square inch in the upper left hand corner for the staple. If you forget some of these requests, don"t worry about it i will still grade your exam. I will post the solutions later today: (7 points) de ne centralizer. Write everything that is necessary for your de nition to make sense, but nothing extra: (7 points) de ne order. Be sure to include all of the hypotheses, but nothing extra: (6 points) prove the statement in problem 5, (6 points) list 8 subgroups of d4 in addition to all of d4 and {id} . A small amount of explanation would be perfect.