G.
12 If N is a normal subgroup of G then
(A)(a) Every left coset of N in Gis (B)Product of two right cosets of N in
equal to right coset of Nin G.
G is again a right coset of N in G.
13 If G is a group then
(A)Every mapping 0 from G into G(B)Every homomorphism on G
is always a homomorphism of G. is always a mapping from G into G.
14 If ® is a homomorphism of G intog with kernel K then
(A)K is a normal subgroup of G. (B)G/K is a quotient group.
15 If 0 is a homomorphism of Gintoő which is one-one and onto th
(A) O is an isomorphism. (B) 0 is an automorphism
16 If two groups Hand Kare isomorphic to each other then
(A)H=K
(B)Order of H = order of K.
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