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###### Deepak Patra posted an Question
February 11, 2022 • 08:51 am 30 points
• IIT JAM
• Mathematics (MA)

# Which of the following pairs of groups are isomorphic to each other? 57. (2+).(0) (6) (q.+)(r () (r).(r) (d) aut(z,), aut(z,) d.u. 2014]

Which of the following pairs of groups are isomorphic to each other? 57. (2+).(0) (6) (Q.+)(R () (R).(R) (d) Aut(Z,), Aut(Z,) D.U. 2014]

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• ##### Anonymous User Best Answer

f:(R,+) to (R^+,.) defined by f(x)= e^x is isomorphism so options c

sir b option kese discard kare ??

f:(Q,+) to (R+,.). homomorphism of the form f(x) =a^x but pre image of a^√2 does not exist so f is not onto

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