Let o: G1G2 be a surjection homomorphism between two groups, n be a normal subgroup ofG1, and Kerc∈N. Proof:G1N≌G2/@p(N) Corollary 6.2: If op is a homomorphism function from group G; to group G; and it is onto, then IG/K;lG’; ◆ Prove:f:G1→→G2/(N) ◆ For Vg1∈G12f(g1)=(N)p(g1 Ifis a surjection homomorphism from Gi to 2/@(N ◆2)kerf=N Let : G1→G2 be a surjection homomorphism between two groups, N be a normal subgroup of G1 , and Ker N. Proof: G1 /N≌G2 /(N).  Corollary 6.2: If  is a homomorphism function from group [G;*] to group [G';•], and it is onto, then [G/K;][G';•]  Prove:f :G1→G2 /(N)  For g1G1 , f (g1 )=(N)(g1 )  1)f is a surjection homomorphism from G1 to G2 / (N).  2)Kerf =N