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4: Cyclic Groups

  • Page ID
    81049
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    The groups \(\mathbb Z\) and \({\mathbb Z}_n\text{,}\) which are among the most familiar and easily understood groups, are both examples of what are called cyclic groups. In this chapter we will study the properties of cyclic groups and cyclic subgroups, which play a fundamental part in the classification of all abelian groups.


    This page titled 4: Cyclic Groups is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Thomas W. Judson (Abstract Algebra: Theory and Applications) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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