IIT JAM
Ajay Asked a Question
December 18, 2020 10:36 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Please give detailed solution

Please give detailed solution as to how to figure out such kind of problems
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  • Anonymous User thankyou
    See attachment
    • cropped7367204176010747376.jpg
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  • Srinath
    See, there is no straight up formula for finding the number of elements of a given order, in ANY group. You have to check whether the group is cyclic/abelian/finite.. (These are mo...
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    Ajay
    Yes but can you please show in detail how you arrived at the solution in this question?
  • Srinath
    Also, the identity element is it's own inverse , so the answer is 26.
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  • Srinath
    It is just a small trick. You must remember that in a group elements of order 2 are their own inverse. So basically, you just have to find out the number of elements of order 2 in ...
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    Ajay
    How to find number of elements of a particular order in any group?