- #1
CurtBuck
- 5
- 0
I'm trying to understand the first isomorphism theorem for groups.
Part of the examples given in the book is showing that Q[x]/(x^3-3) is isomorphic to {a+b*sqrt(3)}
As I understand it, by finding a homomorphism from Q[x] to {a+b*sqrt(3)} in which the kernel is x^3-3, the two are isomorphic.
I am struggling in finding the homomorphism from Q[x] to {a+b*sqrt(3)}
Any help would be great.
Part of the examples given in the book is showing that Q[x]/(x^3-3) is isomorphic to {a+b*sqrt(3)}
As I understand it, by finding a homomorphism from Q[x] to {a+b*sqrt(3)} in which the kernel is x^3-3, the two are isomorphic.
I am struggling in finding the homomorphism from Q[x] to {a+b*sqrt(3)}
Any help would be great.