Relevant Classes: Math 493
The Second Isomorphism Theorem
Let be a group, be a subgroup of , and be a normal subgroup of . Then, is a subgroup of , and
Proof:
Relevant Classes: Math 493
The Second Isomorphism Theorem
Let G be a group, H be a subgroup of G, and N be a normal subgroup of G. Then, HN={hn:h∈H,n∈N} is a subgroup of G, and HN/N≃H/(H∩N)
Proof: