I have to do two proofs.
1) If G is abelian, the the factor group G/H is abelian.
2) If H and K are normal in G, then H intersect K is normal in G.
I have to do two proofs.
1) If G is abelian, the the factor group G/H is abelian.
2) If H and K are normal in G, then H intersect K is normal in G.