Pradyut Kumar Barman posted an Question
September 29, 2021 • 21:29 pm 30 points
  • IIT JAM
  • Mathematics (MA)

If in a group g ,a²b²=b²a²,a³b³=b³a³,then prove that g is an abelian.

If in a group G ,a²b²=b²a²,a³b³=b³a³,then prove that G is an abelian.

1 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • Sai

    they are relatively prime...you can also prove them by the properties of a group to be abelian i.e it should be commutative a*b = b*a. see the second attachment for how can you prove a2b2=b2a2. similarly you can do it for a3b3=b3a3

    cropped2480645559115068634.jpg
    cropped780472262979311007.jpg
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