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Let H and K be subgroups of  If the order of H is 24 and the order of K is 36, then the order of the subgroup H ∩ K is
  • a)
    3
  • b)
    4
  • c)
    12
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let Hand K be subgroups of If the order of H is 24 and the order of K ...
Here H and K are cyclic subgroups.Since,Hk is the smallest subgroup containing both H and K.So,O(HK)=lcm(O(H),O(K)) and here that is 72.Hence the result=(24×36)÷72=12.. comment me the reason is right or wrong..
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Let Hand K be subgroups of If the order of H is 24 and the order of K is 36, then the order of the subgroup H ∩ K isa)3b)4c)12d)6Correct answer is option 'C'. Can you explain this answer?
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Let Hand K be subgroups of If the order of H is 24 and the order of K is 36, then the order of the subgroup H ∩ K isa)3b)4c)12d)6Correct answer is option 'C'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let Hand K be subgroups of If the order of H is 24 and the order of K is 36, then the order of the subgroup H ∩ K isa)3b)4c)12d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let Hand K be subgroups of If the order of H is 24 and the order of K is 36, then the order of the subgroup H ∩ K isa)3b)4c)12d)6Correct answer is option 'C'. Can you explain this answer?.
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