Let g be a finite group and h be a subgroup ofg. let o(g) and o(h) denote the orders of g and h respectively. identify whichofthe following statements are neces

Let G be a finite group and H be a subgroup ofG. Let O(G) and O(H) denote the orders of G and H respectively. Identify whichofthe following statements are necessarily true. 8. INBHM-2006] (a)l isa prime number then H is normal inG (6) If o(G) = 20(H) then H is normal in G )Ifthere exist normal subgroup A and BofG such that H = {ab |a e A, b e B} then His normal in G