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Vijay posted an Question
September 21, 2020 • 21:12 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.11 let h and k be subgroups of 144. if the order of h is 24 and the order of k is 36, then the order of the subgroup hokis (a) 3 (b) 4 (c)6 (d) 12

Q.11 Let H and K be subgroups of 144. If the order of H is 24 and the order of K is 36, then the order of the subgroup HOkis (A) 3 (B) 4 (C)6 (D) 12

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    Deepak singh 1 Best Answer

    see attached result, since here G =Z144 is cyclic group , so by result order of H intersection K = gcd (24,36) = 12 . so , option d is correct

    cropped6386749056707251780.jpg
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    how Z144 is a cyclic group?

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    Zn is always cyclic group...

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