MATH 546 Midterm: MATH546 South Carolina 546 e3 s10
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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) state lagrange"s theorem. Write everything that is necessary, but nothing extra: (7 points) de ne normal subgroup. Write everything that is necessary for your de nition to make sense, but nothing extra: (7 points) de ne group homomorphism. Write everything that is necessary for your de nition to make sense, but nothing extra: (8 points) let h be a normal subgroup of the group g . , c , and d are elements of g with ah = bh and ch = dh .
