abstract algebra: p, q prime; o(G) = pq, G has normal subgrps w/ degrees p, q

[mohammad2232]

hello. I have a question, and thanks everybody for answer.

If p and q are prime numbers, o(G) = pq, and G has normal subgroups with degrees p and q, prove that G is a cyclic group

Thanks very much for your time.

 

[Deleted member 4993]

helloi have a question and thanks everybody for answerif p and q are Prime number and o(G)=pq and G have normal subgroups with p and q degree prove that ;G is Cyclic group thanks very much for your time

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[stapel]

...prove that G is a Hyclic group

Did you maybe mean that G is a "cyclic" group? If not, please reply with the definition of a "Hyclic" group. Thank you!