MATH 546 Midterm: MATH546 South Carolina 546 e3 f11
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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. No calculators or cell phones: (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: (6 points) let , m , and n be xed positive integers and let h be the subgroup. H = {am + bn | a, b z} of z . (i believe that h is a subgroup. I do not need to see a proof. ) Suppose that h is also equal to {c | c z} .
