Question

If G is a finite group and H is a normal subgroup of G, then o(G\H) is​

Answer 1

Step-by-step explanation:

If G is a finite group and H is a normal subgroup of G,then prove that o(G/H)=o(G)/o(H). Since G is finite, then G={a1,a2,a3,...,an}. Also, H⊲G⟹Hai=aiH ,i ranges from 1 to n. Now, G/H={a1H,a2H,a3H,...,anH}.

Answer 2

Step-by-step explanation:

If G is a finite group, prove that

C (G) (N(a)) a = 0 0/ .