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Anonymous User Best Answer
(Q+, .) is isomorphic to a proper subgroup of itself
sir but ans given is a,c,d
as per me sir , (Z,+) also has proper subgroup isomorphic to itself
for c ,d check attachment
(2z+) is proper subgroup of (z,+) if we define f:H to Z , f(x)=x/2 is isomorphism