jasminekoehler5715 jasminekoehler5715
  • 12-01-2024
  • Mathematics
contestada

Let G be a group with |G| = pq, where p and q are prime. Prove that every proper subgroup of G is cyclic, but G need not be cyclic.
a) Establish the primality of p and q
b) Prove the cyclic nature of proper subgroups
c) Provide an example of a non-cyclic group
d) Explore applications of cyclic groups in mathematics

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