Homework Assignment 1

(Problems selected by David Dummit)




Do all the exercises below - hand in only the numbered exercises.

  • 1. Section 1.1, exercises 1, 2, 6. Submit solutions to 1(c,e), 2(c,e), 6(c,e,f)

  • Section 1.1, exercise 7

  • Section 1.1, exercise 8

  • 2. Section 1.1, exercise 9

  • 3. Section 1.1, exercises 11-14

  • Section 1.1, exercise 15

  • Section 1.1, exercise 16

  • 4. Section 1.1, exercise 18

  • 5. Section 1.1, exercise 20

  • 6. Section 1.1, exercise 25

  • 7. Section 1.1, exercise 31 (the Hint can be phrased another way: pair up every element x with its inverse x-1 and consider when these two elements are distinct)

  • Section 1.2, exercise 1

  • Section 1.2, exercise 10


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