Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Antima Jangid posted an Question
February 04, 2022 • 18:42 pm
![]()
30 points
30 points
- IIT JAM
- Mathematics (MA)
D is given as answer . is it correct?
1 Answer(s)
Answer Now
- 0 Likes
- 1 Comments
- 0 Shares
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
Sign Up to Download FREE Study Material Worth Rs. 500/-
Anonymous User![best-answer]()
C Since an element always commutes with its powers, we have that every element has order 2. In particular, this implies a=a^−1 for every a∈G. Also, a group with this property must be abelian, since [a,b]=aba−1b−1=abab=(ab)²=e Now, if the group has more than two elements, all these should commute, which contradicts the initial conditions. So, the group must have one or two elements and is isomorphic either to trivial group or Z/2Z