(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that a factor group of a cyclic group is cyclic

2. Relevant equations

3. The attempt at a solution

For a group to be cyclic, the cyclic group must contain elements that are generators which prodduced all the elements within that group . A factor group is based on the definition that G be a group and let H be a normal group subgroup of G: (aH)(bH).

I have no idea how to proved that a factor group is cyclic

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# Homework Help: Factor groups

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