Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G is cyclic and |G| = p?, where p is prime.

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Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G is cyclic and
|G| = p², where
is prime.
Transcribed Image Text:Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G is cyclic and |G| = p², where is prime.
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