The rule of combination of a set G of elements e, a, b, c under an operation * is displayed in the adjoining operation table. Then for the group (G, *), the true statement is:
|
* |
e |
a |
b |
C |
|
e |
e |
a |
b |
C |
|
a |
a |
e |
c |
b |
|
b |
b |
c |
e |
a |
|
c |
c |
b |
a |
e |
1
* is not commutative.
2
e is not the identity.
3
every element does not have an inverse.
4
G is an abelian group.