profile-img
Deepak Patra posted an Question
February 11, 2022 • 14:21 pm 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]

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • Anonymous User Best Answer

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

    eduncle-logo-app

    sir b option kese discard kare ??

    eduncle-logo-app

    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

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers