5. Prove that the cyclic group Z/15Z is isomorphic to the product group Z/3Z × Z/5Z.

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gelerator.
5. Prove that the cyclic group Z/15Z is isomorphic to the product group Z/3Z x Z/5Z.
6. Show that if p is a prime number, then Z/pZ has no proper non-trivial subgroups.
Transcribed Image Text:m. gelerator. 5. Prove that the cyclic group Z/15Z is isomorphic to the product group Z/3Z x Z/5Z. 6. Show that if p is a prime number, then Z/pZ has no proper non-trivial subgroups.
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