hw2 - (b) Make multiplication tables for Z * 8 , Z * 10 ,...

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Math 113 Homework # 2, due 9/16/9 at 2:10 PM 1. Fraleigh section 3, exercises 2, 4, 6, 8, 10, 26, 27, 30. 2. Fraleigh section 4, exercises 9, 10, 19, 28. 3. Let n > 1 be an integer and let Z * n be the set of units in Z n , i.e. elements x Z n such that there exists y Z n with xy = 1. (a) Show that Z * n (with the operation of multiplication) is a group.
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Unformatted text preview: (b) Make multiplication tables for Z * 8 , Z * 10 , and Z * 12 . (c) Show that Z * 8 Z * 12 but Z * 8 6 Z * 10 and Z * 10 6 Z * 12 . 4. How challenging did you nd this assignment? How long did it take?...
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