Anku posted an Question
October 08, 2020 • 18:38 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Here order of z2 is 2 and of z3 is 3 then how line indicated in red written to what does that indicate...pls tell

here order of z2 is 2 and of z3 is 3 then how line indicated in red written to what does that indicate...pls tell

2 Answer(s) Answer Now
  • 0 Likes
  • 3 Comments
  • 0 Shares
  • comment-profile-img>
    Piyush pachauri

    Zm×Zn are isomorphic to Zmn iff GCD (m,n) =1.

    eduncle-logo-app

    Any doubt then you can ask.

  • comment-profile-img>
    Piyush pachauri best-answer

    Z2×Z3 is isomorphic to Z6. Any two cyclic groups which has same order are isomorphic. Z2×Z3 has element (1,1) which is of order 6.

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