MATH 546 Midterm: MATH546 South Carolina 546 sp01 f nospace

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15 Feb 2019
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Get your course grade from tips/vip late on tuesday or later. The exam is worth a total of 150 points. Problems 1 through 10 are worth eight points each. Prove the statement: pick a second statement from problems 5 through 9. Prove the statement: what is the order of the element (cos . 3 , ) in the group u6 d4 : let g be the group z4 z10 . Let n be the subgroup of g . Explain your answer. is the order of the element (1, 2) + n in the group g: let (rpos, ) represent the group of positive real numbers under multiplication. If so, exhibit such a subgroup and explain why the subgroup is not cyclic: true or false. (if true, prove it. 2: true or false. (if true, prove it. All groups of order 7 are isomorphic: how many permutations in s6 have order 4 .