Q1:- Prove that a subgroup H of G is normal subgroup of G,
if and only if
product of any two right cosets of H in G is again a right coset of H in G.
dnt know wether i can write this or not....???
Q2:- If H is a non-empty subset of G such that Hx = HxH for every xЄG,
Then Hx = xH.
Q3:- If H and K are two normal subgroups of a finite group G such that O(H) and O(K) are
Then show that hk = kh for every hЄH, kЄK .