Exercise 5
Which of the following subsets are also subgroups?
- { x | 2x = 0} inside (R,+)
- { x | 5x + 6 = 0 } inside (R,+)
- { x | x^3 = 0 } inside (R,+)
- { x | x^3 - 2x = 0 } inside (Z,+)
- { x | 2x = [0] } inside (Z/6,+)
- { x | x is prime} U {0} inside (Z,+)
- { x | x is even} inside (Z,+)
- { 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