Exercise
Which of the following maps is a morphism of groups?
f: Z -> Z, f(a) = a + 2
f: Z -> Z, f(a) = a2
f: Z -> Z, f(a) = 2a
No, the unit 0 is mapped to 2
No, (1 + 1)2 is not equal to 12 + 12
Yes
Exercise
Which of the following maps is a morphism of groups?
f: Z -> Z, f(a) = a + 2
f: Z -> Z, f(a) = a2
f: Z -> Z, f(a) = 2a