Abstract Algebra/Group Theory/Homomorphism/A Homomorphism with Trivial Kernel is Injective
Theorem[edit | edit source]
Let f be a homomorphism from group G to group K. Let eK be identity of K.
Proof[edit | edit source]
0. Choose such that 1. f is a homomorphism 2. 0. 3. f is a homomorphism 4. homomorphism maps identity to identity 5. 1,2,3,4. 6. given 7.