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Anku posted an Question

October 04, 2020 • 21:23 pm

30 points

IIT JAM
Mathematics (MA)

Sir, pls tell as per which theorem it is comming to be cyclic...[the part encircled in orange]

sir, pls tell as per which theorem it is comming to be cyclic.... . . . ..

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Piyush pachauri

Any doubt then you can ask.
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Piyush pachauri

When GCD{O(a),O(b)}=1 ,then O(ab) = LCM{O(a),O(b)}= O(a)O(b)
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Piyush pachauri Best Answer

you found an element which is of order 15 that implied it is cyclic.
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sir what was need to show gcd of order of a and order of b =1
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Because if GCD is not 1 then you won't get O(ab) = O(a).O(b(
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O(ab) = LCM {O(a),O(b)}
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