MATH 546 Midterm: MATH546 South Carolina 546 su 01 1 nospace
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Each of the other problems is worth 5 points: de ne group . Three of these subgroups had four elements, just like the group g . G look more like the multiplication table of h = {id, , 2, 3} or more the multiplication table of k = {id, , 2, 3} . Explain your answer. (i do not need to see a large number of details. : let t = r \ {1} . De ne on t by a b = ab a b + 2 . List 4 subgroups of d3 in addition to d3 and {id} . (i do not need to see any details. : let x and y be elements of the group (g, ) . Suppose that the inverse of x is called x 1 and the inverse of y is called y 1 . Write the inverse of x y in terms of x 1 and y 1 .
