Exercise 5

Which of the following subsets are also subgroups?
  1. { x | 2x = 0} inside (R,+)
  2. { x | 5x + 6 = 0 } inside (R,+)
  3. { x | x^3 = 0 } inside (R,+)
  4. { x | x^3 - 2x = 0 } inside (Z,+)
  5. { x | 2x = [0] } inside (Z/6,+)
  6. { x | x is prime} U {0} inside (Z,+)
  7. { x | x is even} inside (Z,+)
  8. { x | x is not invertible with respect to the multiplication} inside (Z/10,+)

Michele Grassi
Last modified: Mon Feb 28 17:53:25 GMT 2000